Question

solve for x and graph the solution on the number line below. -18 ≤ -x - 6 < -15 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Add 6 to all parts

Add 6 to each part of the compound - inequality $-18\leq -x - 6\lt - 15$.
$-18 + 6\leq -x-6 + 6\lt -15 + 6$
$-12\leq -x\lt -9$

Step2: Multiply by -1 and reverse signs

When we multiply each part of the inequality by - 1, we reverse the direction of the inequality signs.
$(-1)\times(-12)\geq(-1)\times(-x)\gt(-1)\times(-9)$
$12\geq x\gt9$
which can be written as $9\lt x\leq12$

Answer:

Inequality Notation: $9\lt x\leq12$
Number - Line: Mark an open circle at 9 (since 9 is not included) and a closed circle at 12 (since 12 is included), and shade the region between them.