91Ó°ÊÓ

Solve each inequality, graph the solution, and write the solution in interval notation. $$ -1<3 x+2<8 $$

Solve each inequality, graph the solution, and write the solution in interval notation. $$ -8<5 x+2 \leq-3 $$

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. $$ 3 x-2>4 \text { or } 5 x-3 \leq 7 $$

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. \(\frac{1}{2} x-3 \leq 4\) or \(\frac{1}{3}(x-6) \geq-2\)

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. \(4-7 x \geq-3\) or \(5(x-3)+8>3\)

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. \(\frac{1}{5}(x-5)+6<4\) and \(3-\frac{2}{3} x<5\)

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. \(4 x-2>6\) or \(3 x-1 \leq-2\)

Solve each inequality, graph the solution on the number line, and write the solution in interval notation. $$ -5 \leq 3 x-2 \leq 4 $$

Solve. Penelope is playing a number game with her sister June. Penelope is thinking of a number and wants June to guess it. Five more than three times her number is between 2 and \(32 .\) Write a compound inequality that shows the range of numbers that Penelope might be thinking of

Explain the steps for solving the compound inequality \(2-7 x \geq-5\) or \(4(x-3)+7>3\).