Solve absolute value inequality. 4<|2-x|

amolent3u 2021-12-14 Answered
Solve absolute value inequality.
4<|2-x|
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Expert Answer

Esther Phillips
Answered 2021-12-15 Author has 34 answers
Given
The given inequality is 4<|2−x|
Absolute Rule:
If |u|>a,a>0 then u<-a or u>a
Calculation
Apply the absolute rule
2-x< -4 or 2-x>4
Solve the inequality 2-x<-4
2-x-2 < -4-2
-x<-6
-x(-1)<-6 (-1)
x>6
Solve the inequality 2-x>4
2-x-2>4-2
-x>2
-x(-1)>2(-1)
x<-2
Thus, the solution of the interval is (,2)(6,)
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