Can you help me with this absolute value prob please?

Question

directions: assume that the domain is x {real numbers}.

absolute value of x = - 9. why is there no solution to this problem?

Answer 1

When you do the absolute value of a number it is always positive or zero, so you could never get -9 for the answer.

Answer 2

There is no solution to this problem because the absolute value of any real number is it's numerical value without regards to it's sign, so a negative number is never an absolute value.  

Answer 3

|x| = x if x ≥ 0 or -x if x < 0

Thus no matter what value of x you put into the equation you'll always get something greater or equal to zero.

Therefore,  |x| = -9 has no solution.

Hope this helps!

Answer 4

Absolute value is the distance from zero, therefore an absolute value can never be negative.  Thus if X is -9, it X cannot be positive because it is negative therefore it cannot be an answer.  The absolute value of -9 is 9.  |x| must be a positive number and therefore cannot be negative.