Question

solve the compound inequality. -13≤2x - 3<9 graph the solution on the number line. your answer

Explanation:

Step1: Add 3 to all parts

$-13 + 3\leq2x-3 + 3<9 + 3$
$-10\leq2x<12$

Step2: Divide all parts by 2

$\frac{-10}{2}\leq\frac{2x}{2}<\frac{12}{2}$
$-5\leq x<6$

Answer:

The solution is $-5\leq x<6$. On the number - line, there is a closed circle at - 5 and an open circle at 6, with a line segment connecting them.