Thread: absolute value lxl+lyl=1

I need to verify lxl+lyl= 1 . I have set up the four cases: X greater/equal to 0 and y is greater/equal to 0 , x is greater/equal to 0 and y is less than 0, x is less than o and y is greater/equal to 0 , and x is less than 0 and y is less than 0... Im having a hard time verifying these.. help please??

umm... What?

I don't know, but the triangle inequality may come in handy somewhere

This is clearly false...

What happens if and ?

Originally Posted by Prove It

Originally Posted by nikie1o2

I need to verify lxl+lyl= 1 . I have set up the four cases: X greater/equal to 0 and y is greater/equal to 0 , x is greater/equal to 0 and y is less than 0, x is less than o and y is greater/equal to 0 , and x is less than 0 and y is less than 0... Im having a hard time verifying these.. help please??

What do you mean by "verify |x|+ |y|= 1"? It is clearly NOT true for all x and y. Please state the entire problem. Is it possible that you want to graph that equation or determine for what (x, y) it is true?

Originally Posted by HallsofIvy

What do you mean by "verify |x|+ |y|= 1"? It is clearly NOT true for all x and y. Please state the entire problem. Is it possible that you want to graph that equation or determine for what (x, y) it is true?

my apologizes...This question arised when working with the Taxi-Cab Metric and the question is "what unit circle is induced?"