1. Let S = {∅, {∅}}. Determine whether each of the following is True or False. Explain your answers (a) ∅ ⊆ S              (b) ∅ ∈ S               (c) {∅} ⊆ S          (d) {∅} ∈ S 2. Suppose you are...

1. Let S = {∅, {∅}}. Determine whether each of the following is True or False. Explain your answers

(a) ∅ ⊆ S              (b) ∅ ∈ S               (c) {∅} ⊆ S          (d) {∅} ∈ S

2. Suppose you are to prove that set A is a subset of set B. Write a reasonable beginning sentence for the proof, and indicate what you would have to show in order to finish the proof.

3. Suppose you are to prove that sets A and B are disjoint. Write a reasonable beginning sentence for the proof, and indicate what you would have to show in order to finish the proof