SOLUTION: Is this statement always, sometimes, or never true. if x and y are intergers, then lx+yl=lxl+lyl. Please give exmaple.

Algebra ->  Absolute-value -> SOLUTION: Is this statement always, sometimes, or never true. if x and y are intergers, then lx+yl=lxl+lyl. Please give exmaple.      Log On


   



Question 495043: Is this statement always, sometimes, or never true. if x and y are intergers, then lx+yl=lxl+lyl. Please give exmaple.
Answer by lwsshak3(11628) About Me  (Show Source):
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Is this statement always, sometimes, or never true. if x and y are intergers, then lx+yl=lxl+lyl. Please give exmaple.
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lx+yl=lxl+lyl
This statement is always true if x and y are of the same sign, that is, both negative or both positive, but not true if they are of opposite sign.
Examples:
x=2, y=3
|2+3|=|2|+|3|
5=5
..
x=-2, y=-3
|-2-3|=|-2|+|-3|
5=5
..
x=-2, y=3
|-2+3|=|-2|+|3|
1≠5