Solve absolute value inequality : 9<|4x+7|

xcl3411 2021-12-06 Answered
Solve absolute value inequality : 9<|4x+7|
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Expert Answer

Novembruuo
Answered 2021-12-07 Author has 26 answers
Step 1
We first get rid of the absolute sign
9<4x+7 or, -9>4x+7
Step 2
Then we find x from each
9<4x+7
9-7<4x
2<4x
24<x
12<x
-9>4x+7
-9-7>4x
-16>4x
-4>x
Answer: 12<x or 4>x
Interval notation: (,4)(12,)
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