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| ?
(a) |x| + |y|
∴ |x| + |y| = 4 + 3 = 7
|x + y| = |4 + 3| = 7
(b) |x| + |y|
|x + y| = |4 – 3| = 1
(c) |x| + |y| ≥ |x + y|
