SOLUTION: Solve the inequality: {{{5/4-2y<3/2}}} and {{{(3/5)y+3<13/10}}}

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Question 168993: Solve the inequality:
5%2F4-2y%3C3%2F2 and %283%2F5%29y%2B3%3C13%2F10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality:
%285%2F4%29-+2y+%3C+%283%2F2%29
Multiply equation by 4 to get rid of the denominators:
5 - 4(2y) < 2(3)
:
5 - 8y < 6
:
-8y < 6 - 5
:
-8y < 1
:
Multiply equation by -1 to make y positive, this reverses the inequality sign
8y > -1
y > -1%2F8
:
:
%283%2F5%29y%2B3+%3C+%2813%2F10%29
Multiply equation by 10 to get rid of the denominators, results:
2(3y) + 10(3) < 13
:
6y + 30 < 13
:
6y < 13 - 30
:
6y < -17
y < -17%2F6