1.4 Set Operations with Two Sets

Set $A = \left\{1 , 3 , 5 , 7 , 9\right\}$ and $B = \left\{2 , 3 , 5 , 7\right\} .$ Find $A$ intersection $B .$

Set $A = \left\{0 , 2 , 4 , 6 , 8\right\}$ and set $B = \left\{1 , 3 , 5 , 7 , 9\right\} .$ Find $A \cap B .$

Set $A = \left\{1 , 3 , 5 , \ldots\right\}$ and set $B = \mathbb{N} = \left\{1 , 2 , 3 , \ldots\right\}$ Find $A \cap B .$

Set $A = \left\{1 , 3 , 5 , 7 , 9\right\}$ and set $B = \left\{2 , 3 , 5 , 7\right\}$. Find $A$ union $B$.

Set $A = \left\{0 , 2 , 4 , 6 , 8\right\}$ and set $B = \left\{1 , 3 , 5 , 7 , 9\right\} .$ Find $A \cup B .$

Set $A = \left\{1 , 3 , 5 , \ldots\right\}$ and set $B = \mathbb{N} = \left\{1 , 2 , 3 , \ldots\right\} .$ Find $A \cup B .$

The number of elements in set $A$ is 10, the number of elements in set $B$ is 20, and the number of elements in $A$ intersection $B$ is 4. Find the number of elements in $A$ union $B$.

If $A$ and $B$ are disjoint sets and the cardinality of set $A$ is 37 and the cardinality of set $B$ is 43, find the cardinality of $A$ union $B$.

$A = \left\{0 , 3 , 6 , 9 , 12\right\} , B = \left\{0 , 4 , 8 , 12 , 16\right\} ,$ and $C = \left\{1 , 2 , 3 , 5 , 8 , 13\right\} .$

Find the set consisting of elements in:

1. $A \text{and} B .$
2. $A \text{or} B .$
3. $A \text{or} C .$
4. $\left(B \text{and} C\right) \text{or} A .$

Don Woods is serving cake and ice cream at his Juneteenth celebration. The party has a total of 54 guests in attendance. Suppose 30 guests requested cake, 20 guests asked for ice cream, and 12 guests did not have either cake or ice cream.

1. How many guests had cake or ice cream?
2. How many guests had cake and ice cream?