Solve absolute value inequality : 5>|4-x|

quiquenobi2v6 2021-12-17 Answered
Solve absolute value inequality :
5>|4-x|
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Expert Answer

Gerald Lopez
Answered 2021-12-19 Author has 29 answers
Given,
5>|4-x|
On simplification, we get
5>|4-x|
|4x|<5
5<4x<5   [|x|<aa<x<a]
54<4x4<54 [Subtracting 4]
9<x<1
91>x1>11 [Dividing -1. When divided by a negative number, the sign will get reversed.]
9>x1
1<x<9
x(1,9)
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