Question

Choose the correct absolute value inequality and graph for the solution -1.2≤x≤2
options:
|5x-2|>=8
|5x-2|<=8

Answer 1

Answer:

$\large\boxed{|5x-2|\leq8}$

Step-by-step explanation:

$-1.2\leq x\leq2\qquad\text{multiply all sides by 5}\\\\-6\leq5x\leq10\qquad\text{subtract 2 from both sides}\\\\-8\leq5x-2\leq8\iff|5x-2|\leq8$