Question 43918
In the absolute value equation
|x| + |y| = 1
we can see that we have no negative quantities...that is, both |x| and |y| must be greater than or equal to zero...
Thus if either |x| or |y| is greater than one, the other would have to be negative in order for their sum to be one...and that cannot be...
Thus -1 ≤ x ≤ 1 and -1 ≤ y ≤ 1