1. TRUE or FALSE: Write T if the statement is true. Otherwise, write \( F \) . Write your answers before each number:

\(U = \{ x / x \) is a natural number less than \( 11 \} \) For numbers \( 1 \) to \( 5 \) consider the following: 

\( A = \{ 1,5,7,8 \} \) 

\( B = \{ x / x \) is a composite number less than \( 8 \} \) 

\( C = \{ 4,8,9,10 \}\) 

1. \( \{ 9 \} \in A \) 

2. \( A = C \) 3. \( n ( B ) = 3 \) 

4. \( A \cap B \) is a singleton 

5. The power set of \(A\) has \(15\) non-empty elements. 

II. Consider the following sets: 

\( U = \{ x / x \) is a natural number less than \( 11 \} \) 

\( A = \{ 1,5,7,8 \} \) 

\( B = \{ x / x \) is a composite number less than \( 8 \} \) 

\( C = \{ 4,8,9,10 \}\) 

Find the following: 

1. \( A \cap B\) 

2. \( ( A \cup C ) ^ { \prime } \) 

3. \( C - B \) 4. \( A \times D \) if \( D = \{ a , b \} \) 

5. \( ( A \cup B ) \cap C\)