1 Let A 1 2 3 4 5 and B 0 3 6 Find a A B b A c A B d B

1. Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find:

a) A B

b) A _

c) A – B

d) B – A

e) Are A and B disjoint sets?

Solution

a) A U B

This set will contains the element that either belong to A or belong to B or both, hence the set AUB = { 0,1,2,3,4,5,6}

b) A (int) (term is not clear)

c) A - B

This set will contain the elements that belong to A but don\'t belong to B

A - B = {1,2,4,5}

d) B - A

This set will contain the elements that belong to B but don\'t belong to A

B - A = {0,6}

e) Are A and B disjoint sets?

No A and B are not disjoint sets since A (int) B is not equal to ZERO

For the sets A and B to be disjoint, there should be no common element between the two sets

A (int) B = {3}