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

asked Oct 10, 2020 12.7k views

5 votes

Choose the correct absolute value inequality and graph for the solution -1.2≤x≤2

options:
|5x-2|>=8
|5x-2|<=8

by Rivka

7.6k points

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2 votes

Answer:

$\large\boxed\leq8$

Explanation:

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

Erk answered Oct 15, 2020

by Erk

8.1k points

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