Question 221133
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
{{{(5x)/4-(5/4)*(1/2)-5/3<4/3}}}
{{{(5x)/4-5/8-5/3<4/3}}} next it would be easiest if we multiply everything by 24  in order to get rid of fractions.
{{{5x*24/4-5*24/8-5*24/3<4*24/3}}} now we can reduce tops and bottoms
{{{5x*6-5*3-5*8<4*8}}}
{{{30x-15-40<32}}}
{{{30x-55<32}}} add 55 to both sides and we get
{{{30x<87}}}
{{{x<87/30}}} we can reduce by 3
{{{x<29/10}}}