Solve the absolute value inequality.8<|7-3x|

OlmekinjP

OlmekinjP

Answered question

2021-05-26

Solve the absolute value inequality.
8<|73x|

Answer & Explanation

avortarF

avortarF

Skilled2021-05-27Added 113 answers

Step 1
First isolate the absolute value expression to the left side of inequality to solve the inequality. Remove the absolute bars by setting a compound inequality. Then solve the inequalities to obtain the solution.
Step 2
The solution to the inequality 8<|73x| can be found as follows.
First isolate the absolute expression by changing the sides as |73x|>8.
Now apply absolute rule: if |u|>a. then u<a or u>a to remove the absolute bars and solve the two inequalities.
|73x|>8 then
73x<8 or 73x>8
3x>15 or 3x<1
x>5 or x<13
Hence, the solution to the absolute value inequality 8<|73x| is x<13 or x>5.

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