Solve each inequality. |2-x|>4

dedica66em

dedica66em

Answered question

2021-12-14

Solve each inequality.
|2-x|>4

Answer & Explanation

eninsala06

eninsala06

Beginner2021-12-15Added 37 answers

Step 1
We have to solve inequality:
|2-x|>4
Step 2
Here, |2-x|>4
|x+2|>4
now we solve absolute value:
|-x+2|>4
this means either -x+2>4 or -x+2<-4
case (1) -x+2>4
subtract 2 from both sides
x+22>42
x>2
multiply both sides by -1 , we get
x<2
case (2) -x+2<-4
subtract 2 from both sides , we get
x+22<42
x<6
multiply both sides by -1, we get
x>6
the required answer is
x<-2 or x>6

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