Question 32 of 47beginner🔧 ApplyShort Answer4 marks
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find
(i)
A'
Answer
{5, 6, 7, 8, 9}
(ii)
B'
Answer
{1, 3, 5, 7, 9}
(iii)
(A ∪ C)'
Answer
{7, 8, 9}
(iv)
(A ∪ B)'
Answer
{5, 7, 9}
(v)
(A')'
Answer
{1, 2, 3, 4}
(vi)
(B – C)'
Answer
{1, 3, 4, 5, 6, 7, 9}
Explanation
This question tests the concept of complement of a set. The complement A' of a set A is the set of all elements of the universal set U that are NOT in A. For union operations, first find the union, then take its complement. The double complement (A')' returns the original set A.