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Margarita [4]
3 years ago
14

For any two integers x and y, |x + y| = |x| + |y|. _ is this true or false if false provide counterclaim

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

False.

Let <em>x</em> = -1 and <em>y</em> = 1. Then <em>x</em> + <em>y</em> = 0, so that

|<em>x</em> + <em>y</em>| = |0| = 0

but

|<em>x</em>| = |-1| = 1

|<em>y</em>| = |1| = 1

|<em>x</em>| + |<em>y</em>| = 1 + 1 = 2

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