Let $G$ be { Matthew, Mark, Luke, John }, $J$ be { Luke, Obi-wan, Yoda }, $S$ be the set of all Star Wars characters, and $F$ be the four gospels from the New Testament.

Now then. Is $J \subseteq G$ ?

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Exercise 6

Is $J \subseteq S$ ?

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Exercise 7

Is Yoda $\in J$ ?

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Exercise 8

Is Yoda $\subseteq J$ ?

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Exercise 9

Is { Yoda } $\subseteq J$ ?

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Exercise 10

Is { Yoda } $\in J$ ?

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Exercise 11

Is $S \subseteq J$ ?

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Exercise 12

Is $G \subseteq F$ ?

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Exercise 13

Is $G \subset F$ ?

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Exercise 14

Is $\varnothing \subseteq S$ ?

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Exercise 15

Is $\varnothing \subseteq \varnothing$ ?

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Exercise 16

Is $F \subseteq \Omega$ ?

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Exercise 17

Is $F \subset \Omega$ ?

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Exercise 18

Suppose $X$ = { Q, $\varnothing$ , { Z } }. Is $\varnothing \in X$ ? Is $\varnothing \subseteq X$ ?

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Exercise 19

Let $A$ be { Macbeth, Hamlet, Othello }, $B$ be { Scrabble, Monopoly, Othello }, and $T$ be { Hamlet, Village, Town }.

What's $A \cup B$ ?

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Exercise 20

What's $A \cap B$ ?

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Exercise 21

What's $A \cap \overline{B}$ ?

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Exercise 22

What's $B \cap T$ ?

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Exercise 23

What's $B \cap \overline{T}$ ?

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Exercise 24

What's $A \cup (B \cap T)$ ?

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Exercise 25

What's $(A \cup B) \cap T$ ?

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Exercise 26

What's $A - B$ ?

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Exercise 27

What's $T - B$ ?

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Exercise 28

What's $T \times A$ ?

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Exercise 29

What's $(B \cap B) \times (A \cap T)$ ?

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Exercise 30

What's $|A \cup B \cup T|$ ?

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Exercise 31

What's $|A \cap B \cap T|$ ?

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Exercise 32

What's $|(A \cup B \cup T) \times (B \cup B \cup B)|$ ?

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Exercise 33

Is $A$ an extensional set, or an intensional set?

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Exercise 34

Recall that $G$ was defined as { Matthew, Mark, Luke, John }. Is this a partition of $G$ ?

{ Luke, Matthew }
{ John }

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Exercise 35

Is this a partition of $G$ ?

{ Mark, Luke }
{ Matthew, Luke }

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Exercise 36

Is this a partition of $G$ ?

{ Matthew, Mark, Luke }
{ John }

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Exercise 37

Is this a partition of $G$ ?

{ Matthew, Luke }
{ John, Mark }

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Exercise 38

Is this a partition of $G$ ?

{ Matthew, John }
{ Luke }
{ Mark }
$\varnothing$

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Exercise 39

What's the power set of { Rihanna }?

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Exercise 40

Is { peanut, jelly } $\in \mathbb{P}$ ({ peanut, butter, jelly }?

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Exercise 41

Is it true for every set $S$ that $S \in \mathbb{P}(S)$ ?

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