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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| ? |
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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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