Sets and logic
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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 → 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.
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Solution Summary
There is one example of a logic problem using p, q, r; and one example of working with sets.
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 ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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