Question

graph the inequality -3|6-x|<-15 for x .graph the solution on a line

Answer 1

Hello,

-3|6-x|<-15
==>|6-x|>5
1) if 6-x<0 then |6-x|=-6+x
==>-6+x>5==>x>11

2) if 6-x>0 then |6-x|=6-x
==>6-x>5==>6-5>x==>x<1

Solution is x<1 or x>11

---- -1 ------- 0  1 ----------- 11 ------------------------------
XXXXXXXXXX[...not here...]XXXXXXXXXXXXXXX