Question

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

Explanation:

Step1: Subtract 2x from both sides

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

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, we use a closed circle at - 15 (because the inequality is $\leq$) and draw an arrow to the left.

Answer:

$x\leq - 15$, and the graph has a closed - circle at - 15 and an arrow pointing to the left.