1. Equations & Inequalities

In Exercises 59–94, solve each absolute value inequality. |x| > 3

In Exercises 59–94, solve each absolute value inequality. |x - 1| ≥ 2

In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7

Write each statement using an absolute value equation or inequality. r is no less than 1 unit from 29.

Write each statement using an absolute value equation or inequality.

q is no more than 8 units from 22.

In Exercises 59–94, solve each absolute value inequality. |(2x + 2)/4| ≥ 2

In Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5

The temperatures on the surface of Mars in degrees Celsius approximately satisfy the inequality $\mid C+84\mid \le 6$. What range of temperatures corresponds to this inequality?

In Exercises 59–94, solve each absolute value inequality. 3|x - 1| + 2 ≥ 8

Solve each absolute value inequality. 5|2x + 1| - 3 ≥ 9

In Exercises 59–94, solve each absolute value inequality. - 2|x - 4| ≥ - 4

Solve each absolute value inequality. - 4|1 - x| < - 16

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as | x² - x | = 6, work Exercises 83–86 in order. For x² - x to have an absolute value equal to 6, what are the two possible values that x may assume? (Hint: One is positive and the other is negative.)

Solve each inequality. Give the solution set using interval notation.

$11x\ge 2(x-4)$

In Exercises 59–94, solve each absolute value inequality. 3 ≤ |2x - 1|