Union and Intersection Calculator

Union and Intersection Calculator - Multi-Tools

Union and Intersection Calculator

Result

Set Operations

1. Union (A ∪ B)

The union of two sets is the set of all elements that are in either set.

A ∪ B = {x | x ∈ A or x ∈ B}
2. Intersection (A ∩ B)

The intersection of two sets is the set of all elements that are in both sets.

A ∩ B = {x | x ∈ A and x ∈ B}

Example Problems

Example 1:

A = {1, 2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Solution:

  • A ∪ B = {1, 2, 3, 4, 5, 6, 7, 8}
  • A ∩ B = {4, 5}
Example 2:

A = {a, b, c, d}

B = {c, d, e, f}

Solution:

  • A ∪ B = {a, b, c, d, e, f}
  • A ∩ B = {c, d}
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