Question

Q1: Let Z be the set of all integers and Q+ be the set of all positive rational numbers. Consider U = Z \cap Q+ as a universal set. Then consider A \subset U and B \subset U such that A = \{x \in U such that x is divisible by two\} and B = \{x \in U such that x is divisible by five\}. Then f) What is A? Does 9 \in A? Justify your answer. g) What is A \cap B? Does 20 \in A \cap B? Justify your answer. h) Does 0 \in A? justify your answer i) What is A \cup B? Does 19 \in A \cup B? Justify your answer. j) What is A \cup B? Does 19 \in A \cup B? Justify your answer. Q2: We have invited 30 guests to a wedding. We would like to split them in to three groups of size of 10, in preparation of seating arrangements. However, there are certain guests who do not like each other, namely U does not like V and X does not like Y. Therefore, these people cannot be put in the same group. In how many ways can we proceed?

          Q1:
Let Z be the set of all integers and Q+ be the set of all positive rational numbers.
Consider U = Z \cap Q+ as a universal set. Then consider A \subset U and B \subset U such
that A = \{x \in U such that x is divisible by two\} and B = \{x \in
U such that x is divisible by five\}. Then
f) What is A? Does 9 \in A? Justify your answer.
g) What is A \cap B? Does 20 \in A \cap B? Justify your answer.
h) Does 0 \in A? justify your answer
i) What is A \cup B? Does 19 \in A \cup B? Justify your answer.
j) What is A \cup B? Does 19 \in A \cup B? Justify your answer.
Q2:
We have invited 30 guests to a wedding. We would like to split them in to three groups of
size of 10, in preparation of seating arrangements. However, there are certain guests who do
not like each other, namely U does not like V and X does not like Y. Therefore, these people
cannot be put in the same group. In how many ways can we proceed?

Q1:
Let Z be the set of all integers and Q+ be the set of all positive rational numbers.
Consider U = Z ∩Q+ as a universal set. Then consider A ⊂U and B ⊂U such
that A = {x ∈U such that x is divisible by two} and B = {x ∈U such that x is divisible by five}. Then
f) What is A? Does 9 ∈A? Justify your answer.
g) What is A ∩B? Does 20 ∈A ∩B? Justify your answer.
h) Does 0 ∈A? justify your answer
i) What is A ∪B? Does 19 ∈A ∪B? Justify your answer.
j) What is A ∪B? Does 19 ∈A ∪B? Justify your answer.
Q2:
We have invited 30 guests to a wedding. We would like to split them in to three groups of
size of 10, in preparation of seating arrangements. However, there are certain guests who do
not like each other, namely U does not like V and X does not like Y. Therefore, these people
cannot be put in the same group. In how many ways can we proceed?

Added by Ashley N.

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