Step 1Solve absolute value inequality.-4 abs(1 - x)< -16

Kaycee Roche 2021-01-27 Answered

Step 1
Solve absolute value inequality.
4|1x|<16

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Expert Answer

Sadie Eaton
Answered 2021-01-28 Author has 104 answers

Step 1
Solve absolute value inequality.
4|1x|<16
Step 2
We have, 4|1x|<16
4|1x|<16
4(|x+1|)<16
Dividing both sides by -4 ,we get
4(|x+1|)4<164
|x+1|>4
Now,solving for absolute value.
We know either, -x+1>4 or -x+1<-4
Possibility(1)
-x+1>4
x+11>41
x>3
Divide both sides by -1,we get
x1>31
x<3
Possibility(2)
-x+1<-4
Subtract 1 from both sides,we get
x1<51
x>5
Hence, x<-3 or x>5

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Jeffrey Jordon
Answered 2021-11-11 Author has 2495 answers

Answer is given below (on video)

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