Question

If A= {1,2,3,4}; B= {1,2,3,4,5,6,7,8} then find AUB, AnB. What do you notice about the result?

Answer 1

A U B = {1,2,3,4,5,6,7,8} =B
A П B = {1,2,3,4} = A
 

Answer 2

The values of A∪B is {1,2,3,4,5,6,7,8} and A∩B is {1,2,3,4}. We can notice that, A∪B= B and A∩B= A.

Given:

A= {1,2,3,4}

B= {1,2,3,4,5,6,7,8}

To Find:

A∪B= ?

A∩B= ?

Solution:

• P∪Q stands for the union of the two sets P and Q.
• This is the collection of all the various components that make up P or Q.
• The symbol  ∪ denotes the union of a set.
• P∩Q is a symbol for the intersection of the sets P and Q.
• This is the collection of every element that both P and Q contain.
• The symbol ∩ denotes the intersection of a set.

For the given sets,

A∪B= {1,2,3,4,5,6,7,8}

and,

A∩B= {1,2,3,4}

From the results, we can notice that,

A∪B= B and A∩B= A.

#SPJ2