For what values of a the following expressions are true: |a−5|=5−a

Whenever  .

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

So 5 works. Let's try a random number like 3.

Okay, with this info we know that we might be able to develop one rule that . Just to test, let's try 0, -3, and -5.

Zero works.

-3 works.

-5 works. Now, this might stop here making the equation , so let's test a number outside of -5 - say -20.

Yes! This works, so a works for this equation as long as .

Hope this helped!

i just took the test, the correct answer is .. 31.5 in.