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.
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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Question
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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