SOLUTION: In the statement |x+y| less than |x| + |y|, each variable represents any number. Tell whether the statement is true for all, some or no values. If it is true for some or all values

SOLUTION: In the statement |x+y| less than |x| + |y|, each variable represents any number. Tell whether the statement is true for all, some or no values. If it is true for some or all values

Algebra.Com

Question 540887: In the statement |x+y| less than |x| + |y|, each variable represents any number. Tell whether the statement is true for all, some or no values. If it is true for some or all values, tell which values (positive or negative) makes it true.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
It's true if one of {x,y} is negative or zero. If x and y are both positive or both negative, then they are equal and the statement is not true.
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