Solving compound inequalities

14r+20 15-9r

14r+2015-9r

14r+20<14r+16

14r+20-14r<14r+16-14r (Subtract 14r from both sides)

20<16

20-20<16-20 (Subtract 20 from both sides)

0<-4

8-10r>15-9r

-10r+8>-9r+15 (Simplify both sides of the inequality)

-10r+8+9r>-9r+15+9r (Add 9r to both sides)

-r+8>15

-r+8-8>15-8 (Subtract 8 from both sides)

-r>7

-r/-1 > 7/-1 (Divide both sides by - 1)

r<-7

Ur answer is:

r < - 7 OR 0 < - 4