SOLUTION: Explain why the graph of |x| + |y| = 1 does not contain any points that have
a. a y-coordinate that is greater than 1 or less than -1
b. an x- coordinate that is geater than 1
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-> SOLUTION: Explain why the graph of |x| + |y| = 1 does not contain any points that have
a. a y-coordinate that is greater than 1 or less than -1
b. an x- coordinate that is geater than 1
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Question 43918: Explain why the graph of |x| + |y| = 1 does not contain any points that have
a. a y-coordinate that is greater than 1 or less than -1
b. an x- coordinate that is geater than 1 or less than -1 Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! 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
