Question

find AUB,AnB if A={2,6,10,14} , B={2,5,14,16}​

Answer 1

Answer:

A∪B = {2,5,6,10,14,16} ; A∩B = {2,14}

Step-by-step explanation:

A∪B means the elements of A and elements of B together without repeating a common element so, A∪B = {2,5,6,10,14,16}

A∩B means that common elements of A and B so, A∩B = {2,14}

Answer 2

Answer:

Given:

• A = { 2, 6, 10, 14 } and B = { 2, 5, 14, 16 }

To find:

• A U B and A n B

Solution:

A U B

Has all the elements of A and B without repetition.

$\therefore$ A U B = { 2, 5, 6, 10, 14, 16 }

This know as A union B.

A n B

Has all the common elements in A and B.

$\therefore$ A n B = { 2, 14 }

This known as A intersection B.

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Extra information:

$\boxed{\sf{n(A \ U \ B) = n(A) + n(B) - n(A \ n \ B)}}$