Given the following sets; A {2,4,6,8,10} B (10,20,30} C (1,3,5,7,20} Determine a) n(B) b) A n B c) B u C) d) Identify any disjoined sets

Question

Really need an answer for this question given as soon as possible, i have an exam coming up shortly and i dont know the answer to this

Answer 1

A = {2,4,6,8,10}

B = (10,20,30}

C = {1,3,5,7,20}

 

a) n(B) is the number of elements in set B, so n(B) = 3

 

b)  A ∩ B is the intersection of sets A and B; that is, it is the set of elements that are in both sets:

 

     A ∩ B = {10} since 10 is the only element in both sets

 

c)  B U C is the union, or combination, of sets A and B:

 

     B U C = {1, 3, 5, 7, 10, 20, 30}

 

     10 is in both sets, but we only list it once

 

d)  Sets A and C have no members in common, so they are disjoint