91Ó°ÊÓ

In the following exercise, solve each inequality, graph the solution, and write the solution in interval notation.

$\frac{3}{4}x-5â‰\yen -2$and$-3\left(x+1\right)â‰\yen 6$

In the following exercise, solve each inequality, graph the solution, and write the solution in interval notation.

$-5≤4x-1<7$

In the following exercise, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$5-2x≤-1$or$6+3x≤4$

In the following exercises, solve each linear equation.$-16\left(3n+4\right)=32$

In the following exercises, solve each equation with fraction coefficients.

$\frac{3p+6}{3}=\frac{p}{2}$

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$3\left(2x-3\right)<-5$or$4x-1>3$

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$\frac{3}{4}x-2>4$ or$4\left(2-x\right)>0$

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$2\left(x+3\right)â‰\yen 0$or$3\left(x+4\right)≤6$

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$\frac{1}{2}x-3≤4$or$\frac{1}{3}\left(x-6\right)â‰\yen -2$

Liam is playing a number game with his sister Audry. Liam is thinking of a number and wants Audry 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 Liam might be thinking of.