SOLUTION: please show me how to solve 5/4(x-1/2)-5/3<4/3

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Question 221133: please show me how to solve 5/4(x-1/2)-5/3<4/3
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
please show me how to solve 5/4(x-1/2)-5/3<4/3
ok, so first step would be to distribute through the 5/4
%285x%29%2F4-%285%2F4%29%2A%281%2F2%29-5%2F3%3C4%2F3
%285x%29%2F4-5%2F8-5%2F3%3C4%2F3 next it would be easiest if we multiply everything by 24 in order to get rid of fractions.
5x%2A24%2F4-5%2A24%2F8-5%2A24%2F3%3C4%2A24%2F3 now we can reduce tops and bottoms
5x%2A6-5%2A3-5%2A8%3C4%2A8
30x-15-40%3C32
30x-55%3C32 add 55 to both sides and we get
30x%3C87
x%3C87%2F30 we can reduce by 3
x%3C29%2F10