Question

solve for $x$ and graph the solution on the number line below.
$-5x - 2 > 13$ or $-5x - 2 < 3$
answer attempt 1 out of 2
$<$ $>$ $leq$ $geq$ or
inequality notation:
number line:
click and drag to plot line.

Explanation:

Step1: Solve first inequality

Start with $-5x - 2 > 13$
Add 2 to both sides:
$-5x - 2 + 2 > 13 + 2$
$-5x > 15$
Divide by -5 (reverse inequality):
$\frac{-5x}{-5} < \frac{15}{-5}$
$x < -3$

Step2: Solve second inequality

Start with $-5x - 2 < 3$
Add 2 to both sides:
$-5x - 2 + 2 < 3 + 2$
$-5x < 5$
Divide by -5 (reverse inequality):
$\frac{-5x}{-5} > \frac{5}{-5}$
$x > -1$

Step3: Combine solutions

The combined solution is $x < -3$ or $x > -1$. For the number line:

• Draw an open circle at $-3$ and shade all values to the left.
• Draw an open circle at $-1$ and shade all values to the right.

Answer:

$x < -3$ or $x > -1$