Question

For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)

Answer 1

`x<2.5` and
`x > 2.5` are the solutions

Explanation:

Given

`-4x + 5 > -5`

`-25 > -5(x + 2.5)`

Required

Determine if their solution is x < 2.5 or x > 2.5

`-4x + 5 > -5`

Collect like terms

`-4x>-5-5`

`-4x>-10`

Divide by -4

`x<(-10)/(-4)`

`x<2.5`

`-25 > -5(x + 2.5)`

Open bracket

`-25 > -5x - 12.5`

Collect like terms

`5x > 25- 12.5`

`5x > 12.5`

Divide by 5

`x > (12.5)/(5)`

`x > 2.5`