Question

Solving compound inequalities 14r+20 <14r+16 or 8-10r>15-9r

Answer 1

14r+20<14r+16 or 8−10r>15−9r

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