Question

solve for x and graph the solution on the number line below.
15 ≥ 3x - 3 > -12
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
(click and drag to plot line.)

Explanation:

Step1: Add 3 to all parts

$15 + 3 \geq 3x - 3 + 3 > -12 + 3$
$18 \geq 3x > -9$

Step2: Divide all parts by 3

$\frac{18}{3} \geq \frac{3x}{3} > \frac{-9}{3}$
$6 \geq x > -3$

Step3: Rewrite for standard form

$-3 < x \leq 6$

Answer:

Inequality Notation: $\boldsymbol{-3 < x \leq 6}$

For the number line:

• Draw an open circle at $-3$ (since $x > -3$, not equal to) and a closed circle at $6$ (since $x \leq 6$, equal to).
• Shade the region between $-3$ and $6$ on the number line.