Question

solve for $x$ and graph the solution on the number line below.
$x - 8 < -10$ or $x - 8 \geq -2$
answer attempt 1 out of 2
$<$ $>$ $leq$ $geq$ or
inequality notation:
number line:
(click and drag to plot line)
submit answer

Explanation:

Step1: Solve first inequality

$x - 8 < -10$
Add 8 to both sides:
$x < -10 + 8$
$x < -2$

Step2: Solve second inequality

$x - 8 \geq -2$
Add 8 to both sides:
$x \geq -2 + 8$
$x \geq 6$

Step3: Combine solutions

The compound inequality uses "or", so combine the two results: $x < -2$ or $x \geq 6$

Step4: Graph instructions

For the number line:

• Draw an open circle at $-2$, shade all values to the left of $-2$.
• Draw a closed circle at $6$, shade all values to the right of $6$.

Answer:

$x < -2$ or $x \geq 6$