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

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
RELATED QUESTIONS
I was able to solve the problem correctly (I think) but I am at a loss for the rest. I... (answered by stanbon)

DOes the line x=3 have a y-intercept? Explain why or why... (answered by ewatrrr)

Suppose that f(x)=log3(x-1). a) State the domain and range of f. b) Find a formula for... (answered by solver91311)

Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible... (answered by Alan3354)

HELPPP!!!! DUE TOMORROW!!: Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$,... (answered by richwmiller,ikleyn,MathTherapy,madyl,greenestamps)

list all the points on the graph of y=tanx o the interval [-pi,5 pi/2] that have a y... (answered by ewatrrr)

I am trying to solve this problem, and the answer is in the back of the book, but I keep... (answered by stanbon)

f(x)= (the square root of) x So far, I have come up with the plot points being: X... (answered by stanbon)