Question

solve the inequality and graph the solution on the line provided.
11 + 8x ≤ 43
answer attempt 1 out of 10
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 11 from both sides

$$11 + 8x-11\leq43 - 11$$
$$8x\leq32$$

Step2: Divide both sides by 8

$$\frac{8x}{8}\leq\frac{32}{8}$$
$$x\leq4$$

Answer:

Inequality Notation: \(x\leq4\)

To graph on the number - line: Place a closed circle at \(x = 4\) (because the inequality includes equality, i.e., \(\leq\)) and draw a line to the left of \(4\) towards negative infinity.