Question

How do I solve this absolute value in quality problem

|2t + 2/3|≤4

Answer 1

Answer: -7/3≤t≤5/3

Explanation:

|2t + 2/3|≤4

2t + 2/3≤4

(2t + 2/3≤4)*3

6t+2≤12

6t≤10

t≤10/6

t≤5/3

2t + 2/3>=-4

(2t + 2/3>=-4)*3

6t + 2>=-12

6t>=-14

t>=-14/6

t>=-7/3

-7/3≤t≤5/3