You can put this solution on YOUR website! 4/3r-3<2/3-1/3r
IF YOU MEAN:
4R/3-3<2/3-R/3
4R/3+R/3<2/3+3
5R/3<2/3+9/3
5R/3<11/3 CANCELLING OUT THE EQUAL DENOMINATORS WE GET:
5R<11
R<11/5 ANSWER.
PROOF:
LET R=10/5 OR 2
4*2/3-3<2/3-2/3
8/3-3<0
8/3-9/3<0
-1/3<0