Question 20 Certainly! Below is a transcription suitable for an educational website:---### Set Theory and Proof Exercises**Exercise 6:**Suppose \( A, B \) and \( C \) are sets. Prove that if \( A = B \), then \( A \times C = B \times C \).**Exercise 7:**Suppose \( A, B \) and \( C \) are sets. If \( B \subseteq C \), then \( A \times B \subseteq A \times C \).**Exercise 8:**If \( A, B \) and \( C \) are sets, then \( A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \).**Exercise 9:**If \( A, B \) and \( C \) are sets, then \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \).**Exercise 10:**If \( A \) and \( B \) are sets in a universal set \( U \), then \( \overline{A \cup B} = \overline{A} \cap \overline{B} \).**Exercise 11:**If \( A \) and \( B \) are sets in a universal set \( U \), then \( \overline{A \cap B} = \overline{A} \cup \overline{B} \).**Exercise 12:**If \( A, B \) and \( C \) are sets, then \( A - (B \cap C) = (A - B) \cup (A - C) \).**Exercise 13:**If \( A, B \) and \( C \) are sets, then \( A - (B \cup C) = (A - B) \cap (A - C) \).**Exercise 14:**If \( A, B \) and \( C \) are sets, then \( (A \cup B) - C = (A - C) \cup (B - C) \).**Exercise 15:**If \( A, B \) and \( C \) are sets, then \( (A \cap B) - C = (A - C) \cap (B - C) \

Name: Question 20 Certainly! Below is a transcription suitable for an educat
Uploaded: 2024-03-20T07:07:50.000Z
Channel: Bartleby
Description: Question 20 Certainly! Below is a transcription suitable for an educational website:---### Set Theory and Proof Exercises**Exercise 6:**Suppose \( A, B \) and \( C \) are sets. Prove that if \( A = B \), then \( A \times C = B \times C \).**Exercise