Question

solve the inequality and graph the solution on the line provided.

4x + 14 ≤ 38

answer attempt 1 out of 5

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Subtract 14 from both sides

$$4x+14 - 14\leq38 - 14$$
$$4x\leq24$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{24}{4}$$
$$x\leq6$$

Answer:

Inequality Notation: \(x\leq6\)

For the number - line: Place a closed circle at \(x = 6\) (because the inequality is \(\leq\)) and shade to the left of \(6\) (towards the negative direction) on the number - line.