SOLUTION: [(2+5x)/3] +[(1-2x)/5]≤(5/4)

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Question 1152917: [(2+5x)/3] +[(1-2x)/5]≤(5/4)
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2B5x%29%2F3%2B%281-2x%29%2F5+%3C=+5%2F4

Multiply through by the LCD of 3,5 and 4, which is 60:

60%2Aexpr%28%282%2B5x%29%2F3%29%2B60%2Aexpr%28%281-2x%29%2F5%29+%3C=+60%2Aexpr%285%2F4%29

20%2Aexpr%28%282%2B5x%29%29%2B12%2Aexpr%28%281-2x%29%29+%3C=+15%2Aexpr%285%29

40%2B100x%2B12-24x+%3C=+75

76x%2B52+%3C=+75

76x+%3C=+23

x+%3C=+23%2F76

Edwin