which of the following sets in not finite ?

Options

A. `{(x,y):x^(2)+y^(2)le1le x+y, x,yin R]`
B. `{(x,y):x^(2)=+ y^(2)le1le x+y, x,y in Z}`
C. `{(x,y):x^(2)le yle |x|,x,y in Z}`
D. `{(x,y):x^(2)le yle|x|,x,yin Z}`

Explanation

To determine which of the following sets is not finite, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Understand the Definition of Finite Set**:
A finite set is a set that has a limited number of elements. In contrast, an infinite set has an unlimited number of elements.

2. **Examine the First Set**:
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