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Operations on sets calculator

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This calculator is an online tool that 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
union, intersection, difference, cartesian product
help ↓↓ examples ↓↓
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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example 1:ex 1:
Find the union $\color{blue}{A \cap B}$ of sets $A = \{ 5, 7, 3, 1\}$ and $B = \{2, 5, 9\}$.
example 2:ex 2:
If $A = \{a, b, c, d \}$ and $B = \{c, d, e, f\}$, find $\color{blue}{A \cup B}$.
example 3:ex 3:
Find difference $\color{blue}{\left( A \setminus B \right)}$ of sets $A = \{4, 5, 1, 8, 9, 6\}$ and $B = \{5, 7, 6, 8\}$.
example 4: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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