EXPLAIN when |−x| = x would be true. HINT: If you are stuck, try substituting each of x = -1, x = 0, and x = 1 into the equation. Then, interpret your results.

It's true when x = a positive number.

Step-by-step explanation:

I don't know how to explain this, so here we go.

The definition of absolute value is the distance a number is away from 0.

In other words, all numbers are now positive or 0.

If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number

if x was a negative number (-1), this is what we would get

|-(-1)| = -1

|1| = -1

1 = -1

That's not right!

And this happens in any negative number you do.

Because the absolute value of something cannot be negative

I cannot stress that enough

Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.

Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number

I hope this helps, let me know if you have any questions.

the barter