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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 3x - …

Question

solve the inequality and graph the solution on the line provided.
3x - 7 ≤ -22
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 7 to both sides

$$3x-7 + 7\leq -22+7$$
$$3x\leq -15$$

Step2: Divide both sides by 3

$$\frac{3x}{3}\leq \frac{-15}{3}$$
$$x\leq - 5$$

Answer:

Inequality Notation: \(x\leq -5\)

To graph on the number - line: Place a closed circle at \(-5\) (because the inequality is \(\leq\)) and shade to the left of \(-5\) (since \(x\) is less than or equal to \(-5\)).