SOLUTION: If x<0, is -(negative) x a positive or a negative number? Why?

Algebra ->  Inequalities -> SOLUTION: If x<0, is -(negative) x a positive or a negative number? Why?      Log On


   



Question 182413: If x<0, is -(negative) x a positive or a negative number? Why?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


x is negative.

So, let s be a positive number with the same magnitude as x. Then -s = x.

Multiply both sides of -s = x by -1: s = -x.

But since s is positive, -x must also be positive.






John