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

ruigE

ruigE

Answered question

2021-05-17

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

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-05-18Added 108 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 (subtract 1 from both sides)
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
x+11<41
x<5
Divide both sides by -1,we get
x1<51
x>5
Hence, x<3 or x>5

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-19Added 2605 answers

Answer is given below (on video)

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