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Let p, q, and r be the following propositions: p="it is raining," q= "the sun is shining." r = "there are clouds in the sky." Translate the following into logical notation, using p. q. r, and logical connectives.

Let p, q, and r be the following propositions: p="it is raining," q= "the sun is shining." r = "there are clouds in the sky." Translate the following into logical notation, using p. q. r, and logical connectives.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter49: Achievement Review—section Four
Section: Chapter Questions
Problem 7AR
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1. Let p, q, and r be the following propositions: p="it is raining," q="the sun is shining," r = "there are clouds in the sky." Translate the following into logical notation, using p, q. r, and logical connectives.
Transcribed Image Text:1. Let p, q, and r be the following propositions: p="it is raining," q="the sun is shining," r = "there are clouds in the sky." Translate the following into logical notation, using p, q. r, and logical connectives.
2. Let p, q, and r be as in Exercise 1. Translate the follow- ing into English sentences. (a) (p ^ q) → r (c) p (q vr) (e) (pvq) ^r (b) (pr)→ 9 (d) (p → (q vr))
Transcribed Image Text:2. Let p, q, and r be as in Exercise 1. Translate the follow- ing into English sentences. (a) (p ^ q) → r (c) p (q vr) (e) (pvq) ^r (b) (pr)→ 9 (d) (p → (q vr))
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