Write the following compound statement in terms of the simple statements​ p, q, and r. ​"I dress quickly or take the express train, and I do not get to work on time.​" ​p: I dress quickly. ​q: I take the express train. ​r: I get to work on time. Part 2 b. Construct a truth table for the symbolic statement in part​ (a). c. Use the truth table to indicate the set of all conditions on​ p, q, and r that make the compound statement​ true, or state that no such conditions exist.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Write the following compound statement in terms of the simple statements​ p, q, and r.
​"I dress quickly or take the express train, and I do not get to work on time.​"
​p:
I dress quickly.
​q:
I take the express train.
​r:
I get to work
on time.
Part 2
b. Construct a truth table for the symbolic statement in part​ (a).
c. Use the truth table to indicate the set of all conditions on​ p, q, and r that make the compound statement​ true, or state that no such conditions exist.
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