How to find difference of Two Sets | A - B and B - A | MathOGuide

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How to find difference of Two Sets | A - B and B - A | MathOGuide

To find the difference between two sets, A and B, you can subtract one from the other.

For example:
( A - B ) is the set of elements that are in A but not in B.
( B - A ) is the set of elements that are in B but not in A.

Let's dive a bit deeper into the concept:

1. **Set A - B (A Set Minus B Set)**:
This operation returns a set containing all the elements that are present in set A but not in set B.
- For example, if ( A = {1, 2, 3, 4}) and
( B = \{3, 4, 5, 6} ),
then ( A - B = {1, 2} ).

- Elements present in A but also in B are excluded from the result.

2. **Set B - A (B Set Minus A Set)**:
- This operation returns a set containing all the elements that are present in set B but not in set A.
- Using the same example,
( B - A = {5, 6} ).
- Elements present in B but also in A are excluded from the result.

These operations are fundamental in set theory and are often used in mathematics, computer science, and various other fields where sets are manipulated. They help in understanding relationships between different sets and identifying unique elements in each set.

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