You can put this solution on YOUR website! 1/2(5x-1/2)-5/3<1/3
5x/2-1/4-5/3<1/3
5x/2<1/3+1/4+5/3
5x/2<6/3+1/4
5x/2<2+1/4
5x/2<9/4 cross multiply.
5x*4<2*9
20x<18
x<18/20
x<9/10 ans.
Proof:
Let x=8/10.
1/2(5*8/10-1/2)-5/3<1/3
1/2(40/10-1/2)-5/3<1/3
1/2(4-1/2)-5/3<1/3
1/2*7/2-5/3<1/3
7/4-5/3<1/3
(7*3-5*4)/4*3<1/3
(21-20)/12<1/3
1/12<1/3
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