Respuesta :

The absolute value of -16 is 16 and the absolute value of 16 is 16. So we know that 16 is greater than 12 but -16 is not.

Answer:

16

Step-by-step explanation:

Given : Two  numbers which have an absolute value of 16

To find: Which of the two numbers is greater than 12

Solution:

Absolute Value Function :

We know that for any number x,

[tex]\left | x \right |=x\,;\,,x\geq 0\\\left | x \right |= -x\,;\,,x< 0[/tex]

For numbers 16 and - 16:

As -16 < 0, [tex]\left | -16 \right |=-(-16)=16[/tex]

As 16 > 0 , [tex]\left | 16 \right |=16[/tex]

[tex]\left | 16 \right |=16\,,\,\left | -16 \right |=16[/tex]

Here, [tex]16> 12[/tex] and [tex]-16< 12[/tex]

So, out of numbers 16 and - 16 such that [tex]\left | 16 \right |=\left | -16 \right |=16[/tex] , 16 is greater than 12.