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

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

So this positive number doesn't work, let's just test with another one.

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

So 0 works.

Let's try a few negative numbers now.

So yes, this does work. Let's try one more negative number.

This works. So, every negative number and 0 work with this equation.

Hope this helped!

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

answer: 1, 3 and 5 are correct

step-by-step explanation: