Question

if A={5,6,7,8} and B={7,8,9,10} then find n(AnB) and n(AuB) (problem solving)​

Answer 1

Answer:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2

Answer 2

Concept

• In set theory, the set that contains every element in a collection of sets is called the union of the sets. One of the fundamental procedures that allows sets to be connected and related to one another is set combination.
• The set containing all items of A that also belong to B, or alternatively, all elements of B that also belong to A, is known as the intersection of two sets A and B in mathematics.

Given

Two sets A and B are give which are A={5,6,7,8} and B={7,8,9,10}

Find

We have to find A∪B and A∩B

Solution

The steps are as follow;

• To find A∪B we have combine both set which will done as follow:

A∪B = {5,6,7,8}∪{7,8,9,10}

A∪B = {5,6,7,8,9,10}

• To find A∩B we will only find the data wfich are common in both the sets which will be as follow:

A∩B = {5,6,7,8}∩{7,8,9,10}

A∩B = {7,8}

Hence A∪B and A∩B will be  {5,6,7,8,9,10} and {7,8} respectively

#SPJ3