Operations on sets calculator

The sets calculators finds the union, intersection, difference and Cartesian product of two sets. The calculator will also provide a step-by-step explanation for each operation.

Set calculator

Find union, intersection, difference and cartesian product of two sets.
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0123456789abcde,C ✖

Input Set A:

Input Set B:

Choose what to compute:

Union of sets A and B

(A \cup B)

Intersection of sets A and B

(A \cap B)

Difference of sets A and B

(A - B)

Cartesian product of sets A and B

(A \times B)

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Examples

ex 1:

Find the union

A \cap B

of sets

A = {5, 7, 3, 1}

and

B = {2, 5, 9}

ex 2:

If A={a,b,c,d} and B={c,d,e,f}, find A U B.

ex 3:

Find difference

(A ∖ B)

of sets

A = {4, 5, 1, 8, 9, 6}

and

B = {5, 7, 6, 8}

ex 4:

Find Cartesian product

(A \times B)

of sets

A = {1, 2, 3}

and

B = {x, y}

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