First of all, act like the < is a =. this helps for the first part. so the equasion would look like 9(2r-5)-3=7r-4
Now simplfy it.
9(2r-5)-3<7r-4
18r-45-3=7r-4
18r-48=7r-4
Now get r on one side.
18r-7r-48=7r-7r-4 r<4 is the answer
11r-48=-4
Get r alone
11r-48+48=-4+48
11r=44 r=4 r<4 Divide and get the answer for r. Now you go back and see if the inequality changes at all (which it doesn't.)
First of all, act like the < is a =. this helps for the first part. so the equasion would look like 9(2r-5)-3=7r-4
Now simplfy it.
9(2r-5)-3<7r-4
18r-45-3=7r-4
18r-48=7r-4
Now get r on one side.
18r-7r-48=7r-7r-4 r<4 is the answer
11r-48=-4
Get r alone
11r-48+48=-4+48
11r=44 r=4 r<4 Divide and get the answer for r. Now you go back and see if the inequality changes at all (which it doesn't.)