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

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5.

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

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. 

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

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