Question

If x < 5, then which of the following must be true?

- x < 5
- x > -5
- x > 5
- x < -5

Answer 1

Let's check the options :

`- x < 5`

Divide both sieds by - 1

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

`x > - 5`

False

_____________________________________________

`- x > - 5`

Divide both sides by - 1

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

`x < 5`

True

_____________________________________________

Divide both sides by - 1

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

`x < - 5`

False

_____________________________________________

`- x < - 5`

Divide both sides by - 1

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

`x > 5`

False