Question

question
solve the inequality and graph the solution on the line provided.
-5 + 8x ≤ -29
answer attempt 1 out of 2
< > ≤ ≥ ∞
inequality notation:
number line:

Explanation:

Step1: Add 5 to both sides

$$-5 + 8x+5\leq -29 + 5$$
$$8x\leq - 24$$

Step2: Divide both sides by 8

$$\frac{8x}{8}\leq\frac{-24}{8}$$
$$x\leq - 3$$

Answer:

Inequality Notation: \(x\leq - 3\)

For the number - line: Place a closed circle at \(-3\) (because the inequality is \(\leq\)) and shade to the left of \(-3\) (since \(x\) is less than or equal to \(-3\)).