Question

solve for x and graph the solution on the number line below. -9 ≤ -3x + 6 or -3x + 6 ≤ -18 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line. submit answer

Explanation:

Step1: Solve the first - inequality

Subtract 6 from both sides of $-9\leq - 3x + 6$:
$-9-6\leq -3x+6 - 6$, which simplifies to $-15\leq - 3x$. Then divide both sides by - 3. Remember to reverse the inequality sign when dividing by a negative number. So $x\leq5$.

Step2: Solve the second - inequality

Subtract 6 from both sides of $-3x + 6\leq - 18$:
$-3x+6 - 6\leq -18 - 6$, which simplifies to $-3x\leq - 24$. Divide both sides by - 3 and reverse the inequality sign. So $x\geq8$.

Answer:

Inequality Notation: $x\leq5$ or $x\geq8$
Number Line: Mark a closed - circle at 5 and shade to the left, and mark a closed - circle at 8 and shade to the right.