1. If you eat your squash (s), then you may go out and play (p). You eat your squash. Therefore, you may go out and play. 2. If you studied Latin (L), then Spanish is easy (S). Spanish is not easy. Therefore, you did not study Latin. 3. If prices increase (p), then consumers will complain (c). If consumers complain, then managers will fret (m). Therefore, if prices increase, then managers will fret.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Do just problem 4,5
4. (a-c) For each of the arguments in Exercises 1-3, identify which of the rules of logic ensures that
the argument is valid.
5. Identify the rule or rules of logic used to find the valid conclusion in each of the following:
(a) panq
(b) a b
b-c
********
a c
(c) If two sides of a triangle are congruent, then the angles opposite these sides are congruent.
Side BC is congruent to side AB in triangle ABC.
Therefore, the angles opposite BC and AB are congruent.
(d) If the movie is not over, then they will buy popcom.
They do not buy popcorn.
Therefore, the movie is over.
(e) If Kahleel wins, he is happy.
If Kahleel is happy, he treats his sister well.
Therefore, if Kahleel wins, he treats his sister well.
Transcribed Image Text:4. (a-c) For each of the arguments in Exercises 1-3, identify which of the rules of logic ensures that the argument is valid. 5. Identify the rule or rules of logic used to find the valid conclusion in each of the following: (a) panq (b) a b b-c ******** a c (c) If two sides of a triangle are congruent, then the angles opposite these sides are congruent. Side BC is congruent to side AB in triangle ABC. Therefore, the angles opposite BC and AB are congruent. (d) If the movie is not over, then they will buy popcom. They do not buy popcorn. Therefore, the movie is over. (e) If Kahleel wins, he is happy. If Kahleel is happy, he treats his sister well. Therefore, if Kahleel wins, he treats his sister well.
In Exercises I through 3, rewrite the argument in symbols, using the symbols that are suggested.
1.
If you eat your squash (s), then you may go out and play (p).
You eat your squash.
Therefore, you may go out and play.
2. If you studied Latin (L), then Spanish is easy (S).
Spanish is not easy.
Therefore, you did not study Latin.
3. If prices increase (p), then consumers will complain (c).
If consumers complain, then managers will fret (m).
Therefore, if prices increase, then managers will fret.
Transcribed Image Text:In Exercises I through 3, rewrite the argument in symbols, using the symbols that are suggested. 1. If you eat your squash (s), then you may go out and play (p). You eat your squash. Therefore, you may go out and play. 2. If you studied Latin (L), then Spanish is easy (S). Spanish is not easy. Therefore, you did not study Latin. 3. If prices increase (p), then consumers will complain (c). If consumers complain, then managers will fret (m). Therefore, if prices increase, then managers will fret.
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