Question: In Exercises 13–32, determine whether the

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If Katherine is at her

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If you close the deal,

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If I

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. I am stressed out or I

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If the temperature hits

> In Exercises 59–64, using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If the radio is a Super

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. The engineering courses are difficult and the chemistry labs are long. If the chemistry labs are long, then the art tests are easy. T

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. If you liked This Is Spinal Tap then you liked Best in Show. If you liked Best in Show then you did not like A Mighty Wind. Therefore

> Wasted Water A faucet leaks 1 oz of water per minute. (a) How many gallons of water are wasted in a year? (Agallon contains 128 oz.) (b) If water costs $11.20 per 1000 gal, how much additional money is being spent on the water bill?

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. If the car is new, then the car has air conditioning. The car is not new and the car has air conditioning. Therefore, the car is not

> Convert 2017 to a numeral in the base indicated. 4

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. The baby is crying but the baby is not hungry. If the baby is hungry then the baby is crying. Therefore, the baby is hungry.

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. If Bonnie passes the bar exam, then she will practice law. Bonnie will not practice law. Therefore, Bonnie did not pass the bar exam.

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. A tiger is a cat and a giraffe is a dog. A tiger is not a cat or a giraffe is not a dog. Therefore, a tiger is not a cat.

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. If the cat is in the room, then the mice are hiding. The mice are not hiding. Therefore, the cat is not in the room

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. Max is playing Game Boy with the sound off or Max is wearing headphones. Max is not playing Game Boy with the sound off. Therefore, M

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. The printer has a clogged nozzle or the printer does not have toner. The printer has toner. Therefore, the printer has a clogged nozz

> In Exercises 49–58, translate the argument into symbolic form. Then determine whether the argument is valid or invalid. If you read The Riptide Ultra-Glide then you can understand Tiger Shrimp Tango. You cannot understand Tiger Shrimp Tango. Therefore,

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> Draw a Venn diagram to obtain the answers. Movies A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type of movies customers liked. The following information was determined. 196 liked dramas. 153 liked comedies. 88 lik

> Proper subset oIn Exercises 3–12, show that the set is infinite by placing it in a one-to-one correspondence with a f itself. Be sure to show the pairing of the general terms in the sets.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> One Square Foot How many square inches, 1 in. by 1 in., fit in an area of 1 square foot, 1 ft by 1 ft?

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> Draw a Venn diagram to obtain the answers. Cultural Activities Thirty-three U.S. cities were researched to determine whether they had a professional sports team, a symphony, or a children’s museum. The following information was determined. 16 had a profe

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

> Convert 2017 to a numeral in the base indicated. 3

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table. If we visit the zoo, then we see a zebra. W

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table. If the car is a Road Runner, then the car is fast. The car is

> In Exercises 33– 48, (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table. If your cell phone rings during class, then the teacher gets

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 3–12, show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets. {10, 12, 14, 16, 18, …}

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> Who Will Win? Steve and Mark ran a 100-yard race. Mark won by 5 yards, which means Steve had run only 95 yards when Mark crossed the finish line. They decided to race again, with Mark starting 5 yards behind the starting line. Assuming both runners run t

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 3–12, show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets. {3, 5, 7, 9, 11,…… }

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 13–32, determine whether the argument is valid or invalid. You may compare the argument to a standard form, given on page 140, or use a truth table.

> In Exercises 9–16, use a truth table to determine whether the two statements are equivalent. q ( p, (p ( (q

> Convert each of the following to a numeral in the base indicated. 39,885 to base 16

> In Exercises 9–16, use a truth table to determine whether the two statements are equivalent. (q ( (p, p ( q

> In Exercises 9–16, use a truth table to determine whether the two statements are equivalent. (( p ( q), p ( (q

> In Exercises 9–16, use a truth table to determine whether the two statements are equivalent. p ( q, (p ( q

> Kakuro Refer to the Recreational Mathematics box on page 130. Complete the following Kakuro puzzle.

> In Exercises 27–31, insert the symbol , or = in the shaded area to make a true statement.

> In symbolic logic, a statement is either true or false (consider true to have a value of 1 and false a value of 0). In fuzzy logic, nothing is true or false, but everything is a matter of degree. For example, consider the statement “The

> Determine whether ( [(( p ( (q)]( p ( (q. Explain the method(s) you used to determine your answer.

> We learned that p ( q ( (p ( q. Determine a conjunction that is equivalent to p ( q. (Hint: There are many answers.)

> If p and q represent two simple statements, and if p ( q is a true statement, what must be the truth value of the contrapositive, (q ( (p? Explain.

> If p and q represent two simple statements, and if p S q isa false statement, what must be the truth value of the contrapositive, ,q S ,p? Explain.

> If p and q represent two simple statements, and if p ( q is a false statement, what must be the truth value of the inverse, (p ( (q? Explain.

> Purchasing DVDs The manager of the video department at Target plans to purchase a large number of DVDs of The Lego Movie. One supplier is selling boxes of 20 DVD movies for $240, and a second supplier is selling boxes of 12 DVD movies for $180. Only comp

> If p and q represent two simple statements, and if p ( q is a false statement, what must be the truth value of the converse, q ( p? Explain.

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) The mortgage rate went down, if and only if Tim purchased the house and the down payment was 10%. (b) The down payment was 10%, and if Tim purchas

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) The package was sent by Federal Express, or the package was not sent by United Parcel Service but the package arrived on time. (

> In Exercises 27–31, insert the symbol , or = in the shaded area to make a true statement.

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If you are 18 years old and a citizen of the United States, then you can vote in the presidential election. (b) You can vote in the presidential e

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If the pay is good and today is Monday, then I will take the job. (b) If I do not take the job, then it is false that the pay is good or today is

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) Fitz and the Tantrums will not go on tour if and only if James King does not play the saxophone (b) It is false that Fitz and the Tantrums

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If the corn bag goes in the hole, then you are awarded three points. (b) It is false that the corn bag goes in the hole and you

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) Mr. Patrick is chosen as department chair if and only if he is the only candidate. (b) If Mr. Patrick is chosen as department chair then he is the

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) The grass grows and the trees are blooming. (b) If the trees are blooming, then the grass does not grow. (c) The trees are not blooming or the gr

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If Tim is the director then Johnny is the actor. (b) Tim is not the director or Johnny is the actor. (c) It is false that Tim is the director and

> Convert each of the following to a numeral in the base indicated. 9455 to base 16

> Grass Seed A bag of Turf Builder Sun and Shade Mix grass seed covers an area of 4000 ft2. How many bags are needed to cover an area of 35,000 ft2?

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) We do not go hiking or we go fishing. (b) If we go hiking, then we do not go fishing. (c) If we go fishing, then we do not go h

> In Exercises 27–31, insert the symbol , or = in the shaded area to make a true statement.

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) Cher did not sing “Believe” or Sting did not sing “Russians.” (b) If Cher sang “Believe” then Sting sang “Russians.” (c) It is false that Sting

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) The shoes are not on sale but the purse is on sale. (b) If the shoes are not on sale then the purse is not on sale. (c) It is false that the shoe

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If Fido is our dog’s name, then Rex is not our dog’s name. (b) It is false that Fido is our dog’s name and Rex is not our dog’s name. (c) Fido is

> In Exercises 55–68, determine which, if any, of the three statements are equivalent (see Example 13). (a) If the player gets a red card, then the player sits out. (b) If the player sits out, then the player gets a red card. (c) The player does not sit

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false.

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false. If two lines do not intersect in at least one point, then the two lines are parallel.

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false. If 1/n is not a natural number, then n is not a natural number.

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false. If a natural number is divisible by 3, then the natural number is divisible by 6.

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false. If the quadrilateral is a parallelogram, then the opposite sides are parallel.

> Making Rice Following are the amounts of ingredients recommended to make various servings of Uncle Ben’s Original Converted Rice. Note: 1 tbsp = 3 tsp. Determine the amount of each ingredient needed to make 8 servings using the followin

> In Exercises 27–31, insert the symbol , or = in the shaded area to make a true statement.

> In Exercises 49–54, write the contrapositive of the statement. Use the contrapositive to determine whether the conditional statement is true or false. If a natural number is divisible by 14, then the natural number is divisible by 7.

> In Exercises 43–48, write the converse, inverse, and contrapositive of the statement in sentence form. If Grandma is not available to babysit, then we cannot go to the movie.

> In Exercises 43–48, write the converse, inverse, and contrapositive of the statement in sentence form. If the menu includes calzones, then I do not stay on my diet.