Question

If A=(3,4,5) :B=(1,6,7,8) then verify whether n (AUB) = n(A)+n (B) or not​

Answer 1

A=(3,4,5) :B=(1,6,7,8)

(AUB) = {1,3,4,5,6,7,8}

n(AUB) = 7

n(A) = 3

n(B) = 4

n(A)+n(B) = 3 +4 =7

n(AUB) = n(A)+n(B)

Answer 2

The given question is if A=(3,4,5):B=(1,6,7,8).

we have to verify whether n (AUB) = n(A)+n (B) or not.

Set language is a mathematical way of representing a collection of objects. In our daily life, we often deal with collection of objects like books, stamps, coins, etc.

The example for set is

{set of prime numbers} = x.

y = {1,3,5,7}.

It is represented as the elements are enclosed in a square bracket.

It is a collection of we'll defined objects.

First, we have to find( AUB)

A = {3,4,5}

B= {1,6,7,8}

AUB = {3,4,5} U {1,6,7,8}

( AUB ) = { 1,3,4,5,6,7,8 }

The number of elements in AUB is 7, which is n(AUB) =7.

This is the LHS.

Now we move on to RHS,

n(A)+n(B)

A ={3,4,5}

n(A) = 3.

The number of elements in set A is 3.

B = {1,6,7,8}

n(B) = 4.

The number of elements in set B is 4.

n(A)+n(B) = 7.

The number of elements in n(A)+n(B) is 7.

we have to verify whether,

n(AUB) = n(A)+n(B).

7=7

LHS = RHS

# spj2

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