Solve absolute value inequality. |(2x+2)/4|\geq 2

Ikunupe6v

Ikunupe6v

Answered question

2021-12-13

Solve absolute value inequality.
|2x+24|2

Answer & Explanation

intacte87

intacte87

Beginner2021-12-14Added 42 answers

Step 1
The given inequality is,
|(2x+2)4|2
For the absolute value inequality, |x|a
x(a) or xa
Step 2
Using the inequality,
(2x+2)42
2(x=1)42
x+141
x+1410
x+1440
x340
x30
x3...(i)
And,
(2x+2)42
2(x+1)42
x+141
x+14+10
x+1+440
x+540
x+50
x5...(ii)
From both the relation,
The solution of the given absolute inequality is x(,5][3,)

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