1. Equations & Inequalities

Express the given set in interval notation and graph.

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

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 3/(x +3) > 3/(x - 2)

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

Solve each equation or inequality.

$\mid 4x+3\mid >0$

Solve each rational inequality. Give the solution set in interval notation. (5x-3)³/(25-8x)²≤0

In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 4(3x - 2) - 3x < 3(1 + 3x) - 7

Use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9

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. 6x²+x>1

Write each statement using an absolute value equation or inequality.

m is no more than 2 units from 7.

Solve each inequality. Give the solution set in interval notation. (4x+7)/-3≤2x+5

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

Solve each rational inequality. Give the solution set in interval notation. (x+2)/(2x+3)≤5

In Exercises 59–94, solve each absolute value inequality. 5 > |4 - x|

Express the given set in interval notation and graph.

{$x$ | 14 ≤ $x$ < 26}

Solve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2