Question

What is the answer for -1/5x + 4 < 39

Answer 1

solution:
`x > -175`

interval notation: (-175, ∞)

Step-by-step explanation:

`-(1)/(5)x + 4 < 39\\`

Subtract 4 from both sides

`-(1)/(5)x +4-4 < 39-4\\`

Simplify

`-(1)/(5)x < 35`

Multiply both sides by -1 (reverse the inequality)

`(-(1)/(5)x )(-1) > 35(-1)`

Simplify

`(1)/(5)x > -35\\`

Multiply both sides by 5

`5` ·
`(1)/(5)x > 5(-35)`

Simplify

`x > -175`