Solve absolute value inequality : |2-\frac{x}{2}|-1\le 1

pro4ph5e4q2 2021-12-06 Answered
Solve absolute value inequality : |2x2|11
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Expert Answer

pendukke
Answered 2021-12-07 Author has 9 answers

Step 1
Given: |2x2|11
for finding solution of it, we simplify given inequality
Step 2
so,
|2x2|11
|2x2|1+1
|2(2)x2|2
|4x2|2
|x4|22
|x4|2(2)
|x4|4
we know that
if, |xa|b then b(xa)b
Step 3
similarly,
(x4)5 & (x4)4
x44 & x44
x0 & x4+4
x0 & x8
so, solution of given inequality will be x[0,8]
hence, solution will be x[0,8].

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