7. Draw a valid conclusion from each of the following sets of statements. Explain why your conclusion is valid. (a) If Susan is a freshman, then Susan takes mathematics. Susan is a freshman. (b) You will fail this test if you do not study. You do not fail the test. (c) You cry if you are sad. You are sad. (d) You will receive your allowance if you cut the grass. You do not receive your allowance.
7. Draw a valid conclusion from each of the following sets of statements. Explain why your conclusion is valid. (a) If Susan is a freshman, then Susan takes mathematics. Susan is a freshman. (b) You will fail this test if you do not study. You do not fail the test. (c) You cry if you are sad. You are sad. (d) You will receive your allowance if you cut the grass. You do not receive your allowance.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Do just 7,12
Transcribed Image Text:7. Draw a valid conclusion from each of the following sets of statements. Explain why your conclusion is
valid.
(a) If Susan is a freshman, then Susan takes mathematics. Susan is a freshman.
(b) You will fail this test if you do not study. You do not fail the test.
(c) You cry if you are sad. You are sad.
(d) You will receive your allowance if you cut the grass. You do not receive your allowance.
8. Arrange the following statements in order to create a valid argument with the conclusion "If Joan is
tall, then Joan teaches seventh grade."
(a) If Joan has red hair, then she teaches seventh grade.
(b) If Joan is tall, then she wears contacts.
(c) Therefore, if Joan is tall, then she teaches seventh grade.
(d) If Joan wears contacts, then she has red hair.
Transcribed Image Text:(b) Explain why the truth table you completed
In each of Exercises 10 through 15, determine whether the argument is valid by using truth
Specifically, check whether the conclusion is true for each case in which the conjunction of
true.
10.
12.
P-9
p➜r
:.q→r
P-~9
qvr
P
r
11. pvq
P
13.
: ~9
pv-g
~pvr
➖➖➖➖➖➖➖➖
:.q→r
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