Solve the absolute value inequality. -3y+6>|x-3|-6

ostric16

ostric16

Answered question

2021-12-07

Solve the absolute value inequality.
-3y+6>|x-3|-6

Answer & Explanation

Forneadil

Forneadil

Beginner2021-12-08Added 18 answers

Step 1
The given inequality is:
-3y+6>|x-3|-6
Step 2
Therefore:
|x-3|-6<-3y+6
Now add 6 both side:
|x-3|-6+6<-3y+6+6
|x-3|<-3y+12
Now use the definition of absolute function:
-(-3y+12)<x-3<(-3y+12)
3y-12<x-3<-3y+12
Now add 3:
3y-12+3<x-3+3<-3y+12+3
3y-9<x<-3y+15
-9+3y

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