Question

Solve the inequality for c.
.
Simplify your answer as much as possible.

Answer 1

w < -2

Explanation:

5w - 22 > -4(2 - 3w)

5w - 22 > -8 + 12w

5w - 12w > -8 + 22

-7w > 14

w < -2

Answer 2

`w<-2`

Explanation:

Solving the inequality for
`w`, we do algebra manipulation, we get:

`5w-22>-4(2-3w)\\5w-22>-8+12w\\-22+8>12w-5w\\-14>7w\\(-14)/(7)>w\\-2>w`

Which means
`w` is LESS THAN
`-2`

Writing this with the variable to the left side:

`w<-2`

This is the correct answer.