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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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 $\color{blue}{A \cap B}$ 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 $\color{blue}{\left( A \setminus B \right)}$ of sets $A = \{4, 5, 1, 8, 9, 6\}$ and $B = \{5, 7, 6, 8\}$.

ex 4:

Find Cartesian product $\color{blue}{\left( A \times B \right)}$ of sets $A = \{1, 2, 3\}$ and $B = \{x, y\}$.

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