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Math Help - absolute value lxl+lyl=1

  1. #1
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    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??
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  2. #2
    Super Member Anonymous1's Avatar
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    umm... What?

    I don't know, but the triangle inequality may come in handy somewhere |x+y| \leq |x|+|y|.
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  3. #3
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    This is clearly false...

    What happens if x = 1 and y = 1?
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  4. #4
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by Prove It View Post
    \textrm{Ra}^2 +  \textrm{Ah}^3 +  (\textrm{Ro} + \textrm{Roma})\textrm{Ma} +  \textrm{Ga}^2 + \textrm{Oh} + \textrm{La}^2 = \textrm{Bad Romance}
    (\textrm{Ro} + \textrm{Roma})\textrm{Ma} = (1 + \textrm{Ma})\textrm{Roma}
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  5. #5
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    Quote Originally Posted by nikie1o2 View Post
    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?
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  6. #6
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    Quote Originally Posted by HallsofIvy View Post
    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?"
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