Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x and graph the solution on the number line below. 21 < 3x + …

Question

solve for x and graph the solution on the number line below. 21 < 3x + 9 < 33 answer attempt 1 out of 2 inequality notation: number line:

Explanation:

Step1: Subtract 9 from all parts

$21 - 9<3x + 9-9<33 - 9$
$12<3x<24$

Step2: Divide all parts by 3

$\frac{12}{3}<\frac{3x}{3}<\frac{24}{3}$
$4 < x<8$

Answer:

Inequality Notation: $4 < x<8$
Number Line: Mark an open - circle at 4 and an open - circle at 8, and shade the region between them.