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:

-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

click and drag to plot line.

submit answer

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: \(x\leq - 5\)

For 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 \(-5\)).