Question

solve the inequality and graph the solution on the line provided.
-2 + 7x < -16
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 2 to both sides

$$\begin{align*} -2 + 7x+2&\leq-16 + 2\\ 7x&\leq-14 \end{align*}$$

Step2: Divide both sides by 7

$$\begin{align*} \frac{7x}{7}&\leq\frac{-14}{7}\\ x&\leq - 2 \end{align*}$$

Answer:

Inequality Notation: \(x\leq - 2\)

For the number line: Plot a closed circle at \(-2\) (since the inequality is \(\leq\)) and shade to the left of \(-2\) (towards the negative infinity direction).