1. Equations & Inequalities

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(x-2) / {(x-1)(x-3)} < 0

Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. x<-6

Solve each inequality. Give the solution set in interval notation. | 5 - 3x | > 7

Solve each rational inequality. Give the solution set in interval notation.

$\frac{5}{2-x}>\frac{3}{3-x}$

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. (2−x)²(x−7/2)<0

Solve each inequality. Give the solution set in interval notation. | (2/3)x + 1/2 | ≤ 1/6

Express the given set in interval notation and graph.

{$x$ | 14 ≤ $x$ < 26}

Express the given interval in set builder notation and graph. (−∞, 0]

Express the given set in interval notation and graph.

$\{$$x$ $\mid$$x\le 7$$\}$

Solve the inequality. Express the solution set in interval notation and graph. $2x+12>19$

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

$\frac13\left(x+1\right)\ge\frac15\left(3+2x\right)$

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | = 7

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (1, 6]

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | = -7

Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. x≤6