Question 168993
Solve the inequality:
{{{(5/4)- 2y < (3/2)}}}
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 > {{{-1/8}}}
:
:
{{{(3/5)y+3 < (13/10)}}}
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 < {{{-17/6}}}