3. Two marks example problems I

1. If \(U =\{c, d, e, f, g, h, i, j\}\) and \(A = \{c, d, g, j\}\), find \(A'\).

 

\(A'\) \(=\) $\left\{i,i,i,i\right\}$

[Note: Enter the letters in the alphabetical order.]

 

2. If \(A =\{1, 2, 6\}\) and \(B = \{2, 3, 4\}\), find \(A \cup B\).

 

\(A \cup B\) \(=\) $\left\{i,i,i,i,i\right\}$

[Note: Enter the letters in ascending order.]

 

3. Let \(A = \{x : x\) is an even natural number and \(\ 1 < x \le 12\}\) and \(B = \{x : x\), is a multiple of \(3\), \(x \in \mathbb{N}\) and \(x \le 12\}\) be two sets. Find \(A \cap B\).

 

\(A \cap B\) \(=\) $\left\{i,i\right\}$

[Note: Enter the letters in ascending order.]

 

4. If \(A =\{2, 3\}\) and \(C = \{\}\), find \(A \cap C\).

 

\(A \cap C\) \(=\) \(\{3\}\)\(\{2, 3\}\)\(\{\}\)\(\{2\}\)