Question

Given the inequality shown above, how many different ordered pairs (x, y), where x and y represent integers, satisfy both conditions?

Answer 1

|x + 2| < 2

-2 < x + 2 < 2---> -4 < x < 0

|y - 1| < 2

-2 < y - 1 < 2----> -1 < y < 3

x = -3, -2, -1

y = 0, 1, 2

There are 9 possible ordered pairs.