Question

Rhonda states that |-x| could take on any value, positive or negative due to the presence of the negative in the statement. Use complete sentences to explain why you would agree or disagree with her statement.

Answer 1

I disagree as the value will always be positive due to the absolute value symbol.

Answer 2

Yes, i agree that 'x' can take any value , either positive or negative real number, but value of |-x| will be always positive because of Modulus sign.

Here x can be any real number.But

|-x|=x , if x<0

= -x , if x>0

= 0, if x=0

So, Conclusion is that |-x| will always will be always Positive real number whatever the value of x be.