Homework 3, due on Wednesday, April 22 by 11:59pm PST

• Chapter 6 (6.5, 6.6, 6.7)
• Chapter 7 (7.5, 7.6, 7.7)
• Chapter 15 (15.1, 15.4, 15.5)
• Problems II on p. 115-119 (3, 8[You may use truth tables to prove (i). See the proof of Prop. 6.2.4 on page 68 for an example of such a proof.], 11)
• Prove or disprove:
  • If \(A,B\) are sets and \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), then \(A\subseteq B\).
  • If \(A,B\) are sets, then \(\mathcal{P}(A)-\mathcal{P}(B)\subseteq\mathcal{P}(A-B)\).