Basic Operations on Sets

We know that arithmetics has operations of addition, subtraction, multiplication and division of numbers.

Similarly in sets, we define the operation of union, intersection and difference of sets.

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If A and B are two sets, then their union,denoted as A∪B,is the set of all elements that belong to either A or B.

Example : A = {1,2,3,4}, B = {3,4,5,6}

Then A∪B = { 1,2,3,4.5,61,2,5,61,6,8,2 }

Visual Represenatation:

If A and B are two sets, then their intersection,denoted as A∩B , is the set of all elements that belong to both A and B.

Example : A = {1,2,3,4} B = {3,4,5,6}

Then A ∩ B = { 3,41,25,6 }

Visual Represenatation:

The difference of two sets includes elements that belong to one set but not the other.

Example : A = {1,2,3,4} , B = {3,4,5,6}

A - B = { 1,23,45,6 }

B - A = { 5,63,4 }

Visual Represenatation: