Q5 of 162 Page 1

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:

(B – C)’

B – C is defined as {x ϵ B : x ∉ C}


B = {2, 4, 6, 8}


C = {3, 4, 5, 6}


B – C = {2, 8}


Now, (B – C)’ = U – (B – C)


U = {1, 2, 3, 4, 5, 6, 7, 8, 9}


B – C = {2, 8}


(B – C)’ = {1, 3, 4, 5, 6, 7, 9}.


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5

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:

(A∪B)’

 5

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:

(A’)’

 6

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:

(A ∪ B)’ = A’ ∩ B’

 6

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:

(A ∩ B}’ = A’ ∪ B’.