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

quiquenobi2v6

quiquenobi2v6

Answered question

2021-12-17

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

Answer & Explanation

Gerald Lopez

Gerald Lopez

Beginner2021-12-19Added 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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