course Mth 151
f your solution to stated problem does not match the given solution, you should self-critique per instructions at
http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm
Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.
014. `query 14
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Self-critique (if necessary):
Self-critique Rating:
Question: **** `q3.3.5 rewrite using if then ' all marines love boot camp '.
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Your solution:
If you are a marine, then you love boot camp.
Confidence Assessment:
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Given Solution:
`a** The statement is equivalent to 'If it's a Marine, it loves boot camp' or equivalent.
The statement is not equivalent to 'if it is boot camp, then all Marines love it', which is the converse of the original statement. **
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Self-critique (if necessary):
Am I wrong saying you instead of it?? It? does not sound right to me because a marine is not an it.
Your statement was fine. Any pronoun will do.
Self-critique Rating:
Question: **** `q3.3.18 ~p false q false p -> q true
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Your solution:
I am rewriting this from the book just to make better sense to me. ~P is true and q is false, the conditional p -> q is true. This sounds true.
Confidence Assessment:
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Given Solution:
`a** Since ~p is false then p is true.
Since q is false it follows that p -> q is of the form T -> F, which is false.
The conditional is false when, and only when, the antecedent is true and the consequent false. **
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Self-critique (if necessary):
I understand why it is false now. I was looking at it backwards.
Self-critique Rating:
Question: **** `qQuery 3.3.36 write in symbols 'If we don't bike, then it does not rain.'
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Your solution:
b = I ride my bike
r = it rain
p = the concert is cancelled
~b -> ~r
Confidence Assessment:
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Given Solution:
`a** If p stands for 'don't bike' and r for 'it rains' then the statement would be p -> ~q. **
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Self-critique (if necessary):
The book has different letters standing for different things I went by that is my answer correct if done that way?
your letters are fine
Self-critique Rating:
Question: **** `qQuery 3.3.48 q true, p and r false, evaluate and (-r U p) -> p
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Your solution:
p = false
r = false
q = true
~r = true V p = false -> p = false. This statement is false because both disjunctions are not false.
you need to be specific about which disjunctions you're talking about, and how your statement relates to the question. I only see one disjunction in the problem.
Confidence Assessment:
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Given Solution:
`a** The antecedent (~r U p ) would be true, since ~r true and p false.
The consequent p would be false.
Since the antecedent is true and the consequent false, the conditional is false. **
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Self-critique (if necessary):
I think I am on the same path as you.
Self-critique Rating:
Question: **** `qQuery 3.3.60 truth table for (p ^ q) -> (p U q)
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Your solution:
p q p^q pVq p^q->pVq
T T T T T
T F F T T
F T F T T
F F F F T
Confidence Assessment:
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Given Solution:
`a** The headings would be p, q ,(p^q), (pUq), (p^q)->(pUq)
Row 1 would read T T T T T
Row 2 would read T F F T T
Row 3 would read F T F T T
Row 4 would read F F F F T
The common sense of this is that whenever both p and q are true, then the statement 'p or q' must be true. That's what means to say (p ^ q) -> (p U q).
The fact that this statement is true is indicated by the last column of the truth table, which has True in every possible case. **
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Self-critique (if necessary):
I forgot the last row putting them together and for row 4 I put T instead of F not thinking.
Self-critique Rating:
Question: **** `qQuery 3.3.74 (formerly 3.3.72). This wasn't assigned but it is similar to assigned questions and should be answered: What is the negation of the statement 'if loving you is wrong then I don't want to be right' ?
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Your solution:
Loving you is wrong and I want to be right.
Confidence Assessment:
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Given Solution:
`a** The negation has to have the exact opposite truth values of the original statement.
It is difficult and confusing to try to negate a conditional. It is much easier to translate the conditional to a disjunction then negate the disjunction. It is easy to negate the disjunction using deMorgan's Laws.
Since p -> q is identical to ~p U q, the negation of p -> q is ~ ( ~p U q), which by de Morgan's Law is ~ ~p ^ ~q, or just p ^ ~q.
So the negation would ge 'loving you is wrong AND I want to be right.
COMMON ERROR AND NOTE: If loving you is wrong, then I want to be right.
INSTRUCTOR COMMENT:
The negation of a conditional can't be a conditional (a conditional is false in only one case so its negation would have to be false in three cases). **
Truthfully I only knew that answer because on the disks I use for the book the woman in it did this as an example.
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&#Good responses. See my notes and let me know if you have questions. &#