Chapter 5: Linear Inequalities

Solve each inequality. Then graph it on a number line.

$m+2\ge 6$

Solve each inequality. Check your solution.

$4a-2>14$

Solve each inequality. Check your solution.

$2x+11\le 5x-10$

Solve each inequality. Check your solution.

$-p+4<-9$

Solve each inequality. Check your solution.

$\frac{d}{4}+1\ge -3$

Graph each inequality.$\mathit{y}\mathbf{<}\mathbf{4}\mathit{x}\mathbf{-}\mathbf{1}$

Solve each inequality. Check your solution.

$-2\left(4b+1\right)<-3b+8$

Define a variable, write an inequality, and solve each problem. Check your solution.

Three times a number increased by 8 is no more than the number decreased by 4.

Graph $\mathit{y}\mathbf{>}\mathbf{-}\mathbf{2}\mathit{x}\mathbf{+}\mathbf{5}$. Then determine which of the ordered pairs in$\left\{\left(-2,0\right),\left(-1,5\right),\left(2,3\right),\left(7,3\right)\right\}$ are in the solution set.

Define a variable, write an inequality, and solve each problem. Check your solution.

Two thirds of a number plus 5 is greater than 17.