Sets

Sets is the collection of distinct objects.

There are 3 common things for sets:

1. Unions(∪)-to collect the sets together and combine it.
2. Intersection(∩)-to see the common in a sets.
3. Complement(')- the sets that are complemented will be subtracted.

Examples 1:

x={3,8,5,14}

y={4,3,13,15}

x ∪ y={3,8,5,14,4,3,13,15}- all of the numbers are combined since it is Union.

x ∩ y={3}- it is because the number 3 are mentioned in both sets which makes it as common number.

Examples 2:

Universal Set:{7,8,9,10,11,12,13}

A={8,10,12}  B={10,12,13} C={7,8} 

A ∪ B= {8,10,12,13}

A∩ B={10,12}

A ∪ B'={8,10,12} {7,8,9,11}

           ={7,8,9,11,12}-since the B is compliment, all of the numbers except the number in B are the                                          answer.

Venn Diagram

It is a diagram representing mathematical or logical sets pictorially as circles or closed curves witin an enclosing rectangle(which known as universal set), common elements of the sets being represented by intersection of the circles.

Example:

In the picture above, it shows that the A is Union with B as both shape are shaded.

While the picture above is an intersection where A intersect B since only the joint between the two shape are shaded.

For more explanation, watch the video below:

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