Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -7 + …

Question

solve the inequality and graph the solution on the line provided. -7 + 4x ≤ 1 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Add 7 to both sides

$$-7 + 4x+7\leq1 + 7$$
$$4x\leq8$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{8}{4}$$
$$x\leq2$$

Answer:

Inequality Notation: \(x\leq2\)

To graph on the number - line: Place a closed circle at \(x = 2\) (because the inequality is \(\leq\), so 2 is included in the solution set) and shade to the left of 2.