Question

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

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

Answer 1

B

Explanation:

x<5

When we multiply by negative number sign of inequality should be changed also.

x*(-1) > 5*(-1)

-x>-5

Answer 2

For this case we have the following expression:

`x <5`

By definition we have to:

Let
`c <0`. If
`a <b,` then
`ac> bc`

That is to say:

If we multilate on both sides of the inequality by -1, the sign automatically changes direction.

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

ANswer:

Option B