1. Equations & Inequalities

In Exercises 59–94, solve each absolute value inequality. |2x - 6| < 8

Express the given interval in set builder notation and graph. $(-\infty ,0]$

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x² ≤ 4x − 2

Solve each quadratic inequality. Give the solution set in interval notation. - ( x +√2)(x-3) < 0

Solve each inequality. Give the solution set in interval notation. 8x-3x+2<2(x+7)

Solve and graph the solution set on a number line: (2x−3)/4 ≥ 3x/4 + 1/2

Solve the inequality. Express the solution set in interval notation and graph. 

$\(\frac\)13\(\left\)(x+1\(\right\))\(\ge\]\frac\)15\(\left\)(3+2x\(\right\))$

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^3+2x^2-4x-8\ge 0$

In Exercises 71–72, use the graph of the polynomial function to solve each inequality.

2x³ + 11x² < 7x + 6

Solve each quadratic inequality. Give the solution set in interval notation. 2x²-9x≤18

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (−x+2)/(x−4)≥0

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)(x−1)/(x+2)≤0

Solve each equation or inequality.

$\mid 4x-12\mid \ge -3$

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

Solve each quadratic inequality. Give the solution set in interval notation. x(x-1)≤6