Solve absolute value inequality : |3-\frac{3}{4}x|>9

iricky827b

iricky827b

Answered question

2021-12-03

Solve absolute value inequality :
|334x|>9

Answer & Explanation

Unpled

Unpled

Beginner2021-12-04Added 23 answers

Step 1
Given: |334x|>9
we know that solution of inequality(|x−a|>b) is given by
x-a < -b or x-a > b...(1)
Step 2
similarly, by using equation(1) solution if given inequality will be
34x3<9 or 34x3>9
34x<39 or 34x>9+3
34x<6 or 34x>12
x<6×43 or x>12×43
x<-8 or x>16
hence, solution of given inequality is x(,8)(16,).

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