Question

Hey I just need someone to check my work and see what else i might need to add on. This is algebra 2

Answer 1

To answer this question we will use the following property of sets:

`|A\cup B|=|A|+|B|-|A\cap B|`

(a) Since Ash has 153 cards in his collection (without any duplicates), Brock has 207 cards in his collection (also without any duplicates) and they have 91 cards in common, then:

`\begin{gathered} |AshCards\cup BrockCards|=|AshCards|+|BrockCards|-|AshCards\cap BrockCards| \\ =153+207-91. \end{gathered}`

Simplifying the above result we get:

`|AshCards\cup BrockCards|=269.`

(b) Expressing the above result using set notations:

`|A\cup B|=269.`

Answer:

(a) There are 269 unique cards in between them.

(b)

`|A\cup B|=269.`