Question

Solve for r -2r+4 < -9r-6

Answer 1

`r = ( - 10)/(8)`

Explanation:

`r - 2r + 4 < - 9r - 6 \\ r - 2r + 9r < - 4 - 6 \\ - r + 9r< - 10 \\ 8r < - 10 \\ r = ( - 10)/(8)`

Answer 2

r < -5/4

Explanation:

r -2r+4 < -9r-6

Combine like terms

-r +4 < -9r-6

Add 9r to each side

-r + 9r+4 < -9r-6+9r

8r+4 < -6

Subtract 4 from each side

8r +4-4 < -6-4

8r < -10

Divide by 8

8r/8 < -10/8

r < -5/4