1.

Find |x| + |y| and |x + y| and find the relation between them in each of the following cases.(a) x = 4, y = 3(b) x = 4, y = – 3(c) If |x| = x, and |y| = –y, what is the relation between |x| + |y| and |x + y| ?

Answer»

(a) |x| + |y|

∴ |x| + |y| = 4 + 3 = 7

|x + y| = |4 + 3| = 7

(b) |x| + |y|

∴ |x| + |y| = 4 + 3 = 7

|x + y| = |4 – 3| = 1

(c) |x| + |y| ≥ |x + y|



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