Question

solve the inequality and graph the solution on the line provided.
4x + 14 ≤ 38
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 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: \(x\leq6\)

To graph on the number - line: Place a closed circle at \(x = 6\) (because the inequality is \(\leq\), so 6 is included in the solution set) and draw a line to the left of 6 (towards the negative direction) to represent all values of \(x\) that are less than or equal to 6.