an inequality is shown. solve the inequality and graph the solution on the number line. 5x + 15 ≤ 2x - 30

Explanation:

Step1: Subtract 2x from both sides

$5x - 2x+15\leq2x - 2x - 30$ $3x + 15\leq - 30$

Step2: Subtract 15 from both sides

$3x+15 - 15\leq - 30 - 15$ $3x\leq - 45$

Step3: Divide both sides by 3

$\frac{3x}{3}\leq\frac{- 45}{3}$ $x\leq - 15$

To graph on the number - line, draw a closed circle at - 15 (because the inequality is $\leq$) and shade to the left.

Answer:

$x\leq - 15$; On the number - line, a closed circle at - 15 and shade to the left.