Question

writing for a negative number x, is the absolute value of x a positive number or a negative number ?explain

Answer 1

Not sure if this is what you're asking for, but:
If \[x \ge 0, |x|=x\]
If \[x<0, |x|=-x\]

Answer 2

The absolute value of -x would be positive x. This is because, an absolute value is the distance a number is from 0. So, -1 is +1 units away from 0.