Question

solve the inequality and graph the solution on the line
-2 + 7x ≤ -16
answer attempt 1 out of 2
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: Place a closed circle at \(-2\) (since the inequality is \(\leq\)) and shade to the left of \(-2\) (because \(x\) is less than or equal to \(-2\)).