Question

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

Answer 1

False.

Let x = -1 and y = 1. Then x + y = 0, so that

|x + y| = |0| = 0

but

|x| = |-1| = 1

|y| = |1| = 1

|x| + |y| = 1 + 1 = 2