Q4 of 17 Page 191

Find two numbers x, y such that |x + y| = |x| + |y|

Given, |x + y| = |x| + |y|

The above equation is valid for all x,y 0.


Therefore any positive values of x and y will satisfy the above equation .


Let us take x = 2 and y = 3


LHS = |x + y| = |2 + 3| = |5| = 5


RHS = |x| + |y| = |2| + |3| = 2 + 3 = 5


Therefore, x = 2 and y = 3 are two values.


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