Question

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
< > ≤ ≥ or
inequality notation:
number line:
click and drag to plot line.

Explanation:

Step1: Solve the first inequality

$$\begin{align*} -5x - 2 &> 13\\ -5x&>13 + 2\\ -5x&>15\\ x&<\frac{15}{-5}\\ x&<-3 \end{align*}$$

Step2: Solve the second inequality

$$\begin{align*} -5x - 2 &< 3\\ -5x&<3 + 2\\ -5x&<5\\ x&>\frac{5}{-5}\\ x&>-1 \end{align*}$$

Answer:

Inequality Notation: \(x < - 3\) or \(x>-1\)

For the number - line:

• For \(x < - 3\): Draw an open circle at \(-3\) and shade to the left.
• For \(x > - 1\): Draw an open circle at \(-1\) and shade to the right.