Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 18 + …

Question

solve the inequality and graph the solution on the line provided.
18 + 2x < 32
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 18 from both sides

$$18 + 2x-18<32 - 18$$
$$2x<14$$

Step2: Divide both sides by 2

$$\frac{2x}{2}<\frac{14}{2}$$
$$x < 7$$

Answer:

Inequality Notation: \(x < 7\)

To graph on the number - line: Place an open circle at \(x = 7\) (because the inequality is strict, \(x
eq7\)) and shade the line to the left of \(7\) towards the negative infinity.