If x is a real number, prove that -x< =|x|

Step-by-step explantion:

Definition of absolute value of x:

|x|=x assuming x has taken a positive value.

|x|=-x assuming x has taken a negative value.

|x|=0 assuming x is 0.

----------------------------------------------------------------------------

Add on both sides:

Let .

Assume x is positive, then where is positive since is positive. Also for positive x.

Assume is negative, then .

Assume , then .

The result for h is positive when x is positive but 0 elsewhere for x.

-------------------------------------End of Proof--------------------------------------

answer: i think it is (1,-2)