Operations on sets calculator

This calculator is an online tool to find find union, intersection, difference and Cartesian product of two sets. It will also generate a step by step explanation for each operation.

Operations on Sets Calculator

0 1 2 3 4 5 6 7 8 9 , del

Input Set A: { }

Input Set B: { }

Choose what to compute:

Union of sets A and B $~~(A \cap B)$

Intersection of sets A and B $~~(A \cup B)$

Difference of sets A and B $~~(A \setminus B)$

Cartesian product of sets A and B $~~(A \times B)$

Show me an explanation

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examples

example 1:

Find the union $\color{blue}{A \cap B}$ of sets $A = \{ 5, 7, 3, 1\}$ and $B = \{2, 5, 9\}$.

example 2:

If $A = \{a, b, c, d \}$ and $B = \{c, d, e, f\}$, find $\color{blue}{A \cup B}$.

example 3:

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

example 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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