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Give 5 examples of an empty set in set builder form.​

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Answer:

An empty set, also known as a null set, is a set that contains no elements. In set builder notation, an empty set can be represented as follows:

1. x is an integer and x > 10, x < 5

- This set has no integers that satisfy both conditions.

2. x

- There are no prime numbers that are even.

3. x is a color of the rainbow and x is not a color

- No element can satisfy this condition.

4. x is a square root of a negative number

- The square root of a negative number is not a real number.

5. x

- No element can satisfy the condition of being both a country and not a country.

In each of these examples, the set builder notation describes a condition that no element can fulfill, resulting in an empty set.

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