Question

I need help with this question please!! :)

Answer 1

Problem 34

Answer:
`\boldsymbol{n(B) = 3}`

Reason:

We count the number of items inside set B. In this case there are 3 values, so that is why n(B) = 3

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Problem 36

Answer:
`\boldsymbol{n(A \cap C) = 1}`

Reason:

To be able to count the number of items inside set
`A \cap C`, we first need to determine what this set looks like. In other words, we need to know the number(s) inside this set.

The upside down U symbol is the intersection symbol. It indicates we want to find what the sets A and C have in common. In this case, it's the value "4" and nothing else. This number is in both set A and set C at the same time. It might help to draw a venn diagram as you see below. I'm ignoring set B entirely since your teacher is not asking about the set in this problem.

We can then say
`A \cap C = \{4\}`

There's only one item inside this set, which is why
`n(A \cap C) = 1`