Solve absolute value inequality. -2|5-x|<-6

nemired9

nemired9

Answered question

2021-12-18

Solve absolute value inequality.
-2|5-x|<-6

Answer & Explanation

intacte87

intacte87

Beginner2021-12-19Added 42 answers

Step 1
-2|5-x|<-6
divide both side by 2
-|5-x|<-3
Divide both side by -1
Step 2
|5-x|>3
±(5x)>3
5-x>3
5-3>x
x<2
-5+x>3
x>3+5
x>8
Solution,
(,2)(8,)
Rita Miller

Rita Miller

Beginner2021-12-20Added 28 answers

Step 1: Given
-2|5-x|<-6
Step 2:Solution
-2|5-x|<-6
|5-x|>3
5-x>3, 5-x<-3
-x>-2, -x<-8
x<2, x>8
Answer: x<2, x>8

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