p = "You used the pool in the afternoon." q= "You cleaned up after lunch." r= "You must clean up after dinner." 1. Use connectives to translate the following statement into formal logic. o If you used the pool in the afternoon and you didn't clean up after lunch, then you must clean up after dinner. 2. Construct a truth table for the formal logic statement that you found in part (1). The eight rows of your table should correspond to the eight different possibilities for p, q, and r. (See the last activity for an example.) 3. Suppose that the statement given in part (1) is false. What must be true about your pool usage and cleanup duties? Explain how to justify your answer using the truth table.
p = "You used the pool in the afternoon." q= "You cleaned up after lunch." r= "You must clean up after dinner." 1. Use connectives to translate the following statement into formal logic. o If you used the pool in the afternoon and you didn't clean up after lunch, then you must clean up after dinner. 2. Construct a truth table for the formal logic statement that you found in part (1). The eight rows of your table should correspond to the eight different possibilities for p, q, and r. (See the last activity for an example.) 3. Suppose that the statement given in part (1) is false. What must be true about your pool usage and cleanup duties? Explain how to justify your answer using the truth table.
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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Transcribed Image Text:p = "You used the pool in the afternoon."
q = "You cleaned up after lunch."
r = "You must clean up after dinner."
1. Use connectives to translate the following
statement into formal logic.
If you used the pool in the afternoon and you
didn't clean up after lunch, then you must clean
up after dinner.
2. Construct a truth table for the formal logic
statement that you found in part (1). The eight
rows of your table should correspond to the eight
different possibilities for p, q, and r. (See the last
activity for an example.)
3. Suppose that the statement given in part (1) is
false. What must be true about your pool usage
and cleanup duties? Explain how to justify your
answer using the truth table.
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