Question 107976
{{{(4/3)r-3<r-2/3-(1/3)r}}} Start with the given equation




{{{(3)((4/3)r-3)<(3)(r-2/3-(1/3)r)}}} Multiply both sides by the LCM of 3. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href<http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{4r-9<3r-2-r}}} Distribute and multiply the LCM to each side





{{{4r-9<2r-2}}} Combine like terms on the right side



{{{4r<2r-2+9}}}Add 9 to both sides



{{{4r-2r<-2+9}}} Subtract 2r from both sides



{{{2r<-2+9}}} Combine like terms on the left side



{{{2r<7}}} Combine like terms on the right side



{{{r<(7)/(2)}}} Divide both sides by 2 to isolate r 



--------------------------------------------------------------

Answer:

So our answer is {{{r<(7)/(2)}}}