SOLUTION: -3/5<1/5-2/15w<-1/3

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Question 43783: -3/5<1/5-2/15w<-1/3
Answer by benni1013(165) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem you need to divide and conquer.
-3/5<1/5-2/15w and 1/5-2/15w<-1/3
Ok the first one.
-3/5<1/5-2/15w
Multiply each side by 15
-9<3/15-2w
Multiply again by 15
-135<3-2w
Subtract 3
-138<-2w
Switch the sign and divide.
w>69
Ok the second one.
1/5-2/15w<-1/3
Multiply each side by 15.
3-2w<-5
Subtract 3
-2w<-8
Switch the sign and divide.
w>4