Question 6: If \(U=\{1,2,3,\ldots ,20\}\) and \(A=\{1,3,5,\ldots ,19\}\), verify the following:
\((ii)\) \(\;\) \(A\cap U=A\)
Solution:
\(A\cap U=\{1,3,5,\ldots ,19\}\)\(\cap\)\(\{1,2,3,\ldots ,20\}\}\)
\(\ \ \ \ \ \ \ \ \ \ \ =\ \)\(\{1,3,5,\ldots ,19\}\)
\(\ \ \ \ \ \ \ \ \ \ \ =A\)