Question 3: Let \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), \(B=\{1,2,3,4,5\}\) and \(C=\{1,3,5,7,9\}\)
List the members of each of the following sets:
\((vi)\) \(\;\) \({A}’\cup {C}’ \)
Solution:
\({A}’ =U-B\)
\(\ \ \ \ =\{1,2,3,4,5,6,7,8,9,10\}-\{1,2,3,4,5\}\)
\(\ \ \ \ =\{1,3,5,7,9\}\)
\({C}’ =U-C\)
\(\ \ \ \ =\{1,2,3,4,5,6,7,8,9,10\}-\{1,3,5,7,9\}\)
\(\ \ \ \ =\{2,4,6,8,10\}\)
\({A}’\cup {C}’ \)\(\ =\ \)\(\{1,3,5,7,9\}\)\(\cup\)\(\{2,4,6,8,10\}\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ =\{1,2,3,4,5,6,7,8,9,10\}\)