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# Sets and logic

For each topic demonstrate a knowledge and capability by giving the following information:

1) Problem Solution: (solution for an even number problem) See below...

2) Personal Observation: (personal comment on the topic including advice to others on how to study and understand it).

Logic
10. Let p, q, and r be the propositions
p: You get an A on the final exam.
q: You do every exercise in this book.
r: You get an A in this class.
Write these propositions using p, q, and r and logical connectives.

Sets & Set Operations
12. Use set builder notation to give a description of each of these sets.
a) {0, 3, 6, 9, 12}
b) {-3, -2, -1, 0, 1, 2, 3}
c) {m, n, o, p}

Functions
14. Determine whether f: Z x Z &#8594; Z is onto if
a) f(m, n) = 2m - n.
b) f(m, n) = m2 - n2.
c) f(m, n) = m + n + 1.
d) f(m, n) = |m| - |n|.
e) f(m, n) = m2 - 4.

#### Solution Preview

Please see the attached file.

For each topic demonstrate a knowledge and capability by giving the following information:

1) Problem Solution: (solution for an even number problem) See below...

2) Personal Observation: (personal comment on the topic including advice to others on how to study and understand it).

Logic
10. Let p, q, and r be the propositions
p: You get an A on the final exam.
q: You do every exercise in this book.
r: You get an A in this class.
Write these propositions using p, q, and r and logical connectives.

No questions, so I couldn't give you any answers. If you have, I am happy to do it for you next time.

Sets & Set Operations
12. Use set builder notation to give a description of each of these sets.
a) {0, 3, 6, 9, 12}

{0, 3, 6, 9, 12}=
It reads that a set of all integers between 0 and ...

#### Solution Summary

There is one example of a logic problem using p, q, r; and one example of working with sets.

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