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Set Calculator

Compute union, intersection, difference, and symmetric difference of two sets.

About this tool

A Set Calculator is a tool that performs fundamental operations on mathematical setsβ€”union, intersection, difference, and symmetric difference. Sets are core to mathematics, computer science, and logic, representing collections of unique elements. Whether you're solving discrete mathematics problems, analyzing data overlaps, or studying set theory, this calculator eliminates manual computation and reduces errors.

To use the tool, enter your sets as comma-separated values in each input field. The calculator instantly computes all four operations: union (all elements from both sets), intersection (only shared elements), difference (elements in the first set but not the second), and symmetric difference (elements in either set but not both). This makes it invaluable for database queries, Venn diagram analysis, and logic problem-solving.

Frequently Asked Questions

Code Implementation

# Set operations in Python
A = {1, 2, 3, 4, 5}
B = {3, 4, 5, 6, 7}

# Union: all elements in A or B
union = A | B
print(union)           # {1, 2, 3, 4, 5, 6, 7}

# Intersection: elements in both A and B
intersection = A & B
print(intersection)    # {3, 4, 5}

# Difference: elements in A but not B
diff_AB = A - B
print(diff_AB)         # {1, 2}

diff_BA = B - A
print(diff_BA)         # {6, 7}

# Symmetric difference: in A or B but not both
sym_diff = A ^ B
print(sym_diff)        # {1, 2, 6, 7}

# Subset checks
print({1, 2}.issubset(A))    # True
print(A.issuperset({1, 2}))  # True

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