jadenjackson45
jadenjackson45 jadenjackson45
  • 26-04-2019
  • Mathematics
contestada

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

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

Respuesta :

mkryukova19 mkryukova19
  • 26-04-2019

Answer:

B

Step-by-step explanation:

x<5

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

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

-x>-5

Answer Link
carlosego
carlosego carlosego
  • 26-04-2019

For this case we have the following expression:

[tex]x <5[/tex]

By definition we have to:

Let [tex]c <0[/tex]. If [tex]a <b,[/tex] then [tex]ac> bc[/tex]

That is to say:

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

[tex](-1) (x) <(- 1) (5)\\-x> -5[/tex]

ANswer:

Option B

Answer Link

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