Question

The sets M and D are given below.

M=(-2, 1, 2, 3, 4, 5}
D = {1, 2, 3, 8)
Find the union of M and D.
Find the intersection of M and D.
Write your answers using set notation (in roster form).

Answer 1

M ∪ B = {-2, 1, 2, 3, 4, 5, 8} Union of M and D

M ∩ B = {1, 2, 3} Intersection of M and D

Explanation:

The union of two sets M and D is represented using the set notation M ∪ D and is the set of all elements that are in M or in D or in both. Since a set cannot contain duplicate elements we drop duplicates of elements

So M ∪ B = {-2, 1, 2, 3, 4, 5, 8} where we drop repetitions of the elements 1, 2 and 3

The intersection of two sets is the set of elements that appear in both sets ie the common elements

So M ∩ B = {1, 2, 3} since each of these elements appear in both sets