Question

question
solve the inequality and graph the solution on the line provided.
3x + 17 ≤ 41
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: Subtract 17 from both sides

$$3x+17 - 17\leq41 - 17$$
$$3x\leq24$$

Step2: Divide both sides by 3

$$\frac{3x}{3}\leq\frac{24}{3}$$
$$x\leq8$$

Answer:

Inequality Notation: \(x\leq8\)

For the number - line: Place a closed circle at \(x = 8\) (because the inequality is \(\leq\)) and shade to the left of \(8\) (since \(x\) is less than or equal to \(8\)).