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:

Question

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 ∩ C)’

Philoid · Accepted Answer

(A ∩ C) = {x:x ϵ A and x ϵ C}.

= {3, 4}

(A∩C)’ means Complement of (A∩C) with respect to universal set U.

So, (A∩C)’ = U – (A∩C)

U – (A∩C)’ is defined as {x ϵ U : x ∉ (A∩C)’}

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

(A∩C)’ = {3, 4}

U – (A∩C)’ = {1, 2, 5, 6, 7, 8, 9}