Set Theory Calculator

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Example

Created on 2024-06-20Asked by Eleanor Harris (Solvelet student)

Given the sets

A = \{1, 2, 3, 4\}

and

B = \{3, 4, 5, 6\}

, find

A \cup B

A \cap B

, and

A - B

Solution

Given the sets

A = \{1, 2, 3, 4\}

and

B = \{3, 4, 5, 6\}

: 1. **Union of

A

and

B

:**

A \cup B = \{1, 2, 3, 4, 5, 6\}.

2. **Intersection of

A

and

B

:**

A \cap B = \{3, 4\}.

3. **Difference of

A

and

B

:**

A - B = \{1, 2\}.

Solved on Solvelet with Basic AI Model

Some of the related questions asked by Evelyn Thompson on Solvelet

1. Determine whether the set

\{1, 2, 3\}

is a subset of the set

\{1, 2, 3, 4\}

.2. Find the power set of the set

\{ a, b, c \}

DefinitionIn point-set topology, set theory is the branch of mathematical logic that studies sets, which are collections of objects. It covers properties and relations of sets, including such operations as, union, intersection, difference. For example, even numbers = {2, 4, 6, 8, …}

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