Question

Solve
2/5-4x>2(1-x)
​

Answer 1

`(-2)/(5)` > x

or x <
`(-2)/(5)`

Explanation:

`(2)/(5)` - 4x > 2(1 - x) Distribute the 2

`(2)/(5)` - 4x > 2 - 2x Add 4x to both sides

`(2)/(5)` - 4x+ 4x > 2 - 2x + 4x Combine like terms

`(2)/(5)` > 2 + 2x Subtract 2 from both sides

`(2)/(5)` - 2 > 2 - 2 + 2x Combine like terms

`(2)/(5)` -
`(10)/(5)` > 2x

`(-8)/(10)` > 2x Divide both sides by 2

`(-8)/(10)`÷ 2 > 2x ÷2

`(-8)/(10)` ÷
`(20)/(10)` =
`((-8)/(20) )/((10)/(10) )` =
`((-8)/(20) )/(1)` =
`(-8)/(20)` =
`(-2)/(5)`

`(-2)/(5)` > x

Helping in Jesus' name.