Questions from General Calculus

Q: Solve the inequality. |2x – 3| < 0

Solve the inequality. |2x – 3| < 0.4

Q: Rewrite the expression without using the absolute value symbol. ||-

Rewrite the expression without using the absolute value symbol. ||-2| - |-3||

Q: Solve the inequality. |5x – 2| < 6

Solve the inequality. |5x – 2| < 6

Q: Solve the inequality a (bx – c) > bc for

Solve the inequality a (bx – c) > bc for x, assuming that a, b, and are positive constants.

Q: Use a graph to find a number N such that if x

Use a graph to find a number N such that if x > N then

Q: Solve the inequality ax + b + c for x, assuming

Solve the inequality ax + b + c for x, assuming that a, b, and are negative constants.

Q: Prove that |ab| = |a||b|. [

Prove that |ab| = |a||b|. [Hint: Use Equation 3.]

Q: Show that if 0 < a < b, then a2 <

Show that if 0 < a < b, then a2 < b2.

Q: Rewrite the expression without using the absolute value symbol. |

Rewrite the expression without using the absolute value symbol. |x – 2| if x < 2

Q: Rewrite the expression without using the absolute value symbol. |

Rewrite the expression without using the absolute value symbol. |x – 2| if x > 2