Final answer:
The value 2 - 2 equals 0, which belongs to the sets of Real Numbers, Rational Numbers, Integers, and Whole Numbers. It does not belong to the sets of Natural Numbers and Irrational Numbers.
Step-by-step explanation:
We are asked to select all sets to which the value 2 - 2 belongs. When we perform the subtraction, we get 2 - 2 = 0. Now, let's determine which sets include the number 0.
- Real Numbers: Since all integers, rationals, and irrationals are included in real numbers, 0, being an integer, is also a real number.
- Rational Numbers: A rational number is any number that can be expressed as a fraction where both numerator and denominator are integers, and the denominator is not zero. Since 0 can be written as 0/1, it is rational.
- Integers: The set of integers includes all whole numbers, both positive and negative, including zero. Therefore, 0 is an integer.
- Whole Numbers: The set of whole numbers includes all natural numbers plus zero.
- Natural Numbers: This set includes all positive integers starting from 1. Since 0 is not a positive integer, it does not belong to the natural numbers.
- Irrational Numbers: These are numbers that cannot be expressed as a simple fraction. Zero can be expressed as a fraction, so it is not irrational.
Therefore, the correct answer is: a. Real Numbers, c. Rational Numbers, d. Integers, and e. Whole Numbers.