Question

(a) Find an example of sets A and B such that An B = {1,2} and AUB = {1,2,3,4,5).

(b) Find an example of sets A and B such that A Ç B and A e B.

Answer 1

(a) Set A = {1,2,3}

Set B = {1,2,4,5}

(b) Set A Ç B = {1,2}

Set A e B = {1,2}

Explanation:

As per the question,

Given data :

A ∪ B = read as A union B = {1,2,3,4,5}

A ∩ B = read as A intersection B = {1,2}

(a) An example of sets A and B such that A ∩ B = {1,2} and A U B = {1,2,3,4,5).

So, first draw the Venn-diagram, From below Venn diagram, One of the possibility for set A and set B is:

Set A = {1,2,3}

Set B = {1,2,4,5}

(b) An example of sets A and B such that A Ç B and A e B,

Set A Ç B read as common elements of set A in Set B.

Therefore,

Set A Ç B = {1,2}

Set A e B implies that which element/elements of A is/are present in set B.

Therefore,

Set A e B = {1,2}