Select the smaller of the two given numbers. -|19|, -|12|

-|12|

Step-by-step explanation:

|19| is 19, -|19| is -19

|12| is 12, -|12| is -12

-12>-19

15.8

Step-by-step explanation:

Once we are working with absolute values, the expression will always be positive, therefore, to get the lowest value for the expression, the lowest value for x should be 0.

But this is not the right approach and this is not the lowest value. For this question, you may think that

For

Therefore,

Solving that

Once it is true for all values of x in the Real set, it means the intervals,

Are true and equal to

The lowest value for will be

If you replace one of these values for , you will find that is the value that will give the lowest value for the expression.