Respuesta :

Answer:

[tex]x = -1[/tex]  [tex]and[/tex]  [tex]x = -9[/tex]

Step-by-step explanation:

Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.

Let us check:

A. x = 21 over 4 and x = -11 over 4

This one is a very simple to say no to, as we are talking about decimals (if you convert into decimals at this point), as in -16 there are no decimals.

False.

B. x = -1 and x = 9

-1 is correct. But 9 is not. Why? Here:

9 + 5 is 14

14 the multiplied by -4 does not equal -16

False.

C. x = -1 and x = -9

Like what I said before, -1 is  correct, now in this answer, -9 is also correct.

Unlike the last one, this one is -9 + 5 which is -4, then since it is inside the positive brackets, the number 4 becomes positive.

4 * -4 = -16

True.

The last one is incorrect. You know why

;)