Question

solve the inequality and graph the solution on the line provided.

-7 + 7x ≤ -14

answer

inequality notation:

number line:

Explanation:

Step1: Add 7 to both sides

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

Step2: Divide both sides by 7

$$\begin{align*} \frac{7x}{7}&\leq\frac{-7}{7}\\ x&\leq - 1 \end{align*}$$

Answer:

Inequality Notation: \(x\leq - 1\)

For the number - line: Place a closed circle at \(-1\) (since the inequality is \(\leq\)) and shade to the left of \(-1\) (because \(x\) is less than or equal to \(-1\)).