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p : The temperature is above 89◦ q : We finished studying. r : We go to the beach. Write each symbolic statement in words   a. ¬r ∨ (p ∧ q) b. ¬p −→ (q ∨ ¬r) c. (q −→ p) ←→ r

p : The temperature is above 89◦ q : We finished studying. r : We go to the beach. Write each symbolic statement in words   a. ¬r ∨ (p ∧ q) b. ¬p −→ (q ∨ ¬r) c. (q −→ p) ←→ r

Advanced Engineering Mathematics
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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p : The temperature is above 89◦
q : We finished studying.
r : We go to the beach.

Write each symbolic statement in words

 

a. ¬r ∨ (p ∧ q)

b. ¬p −→ (q ∨ ¬r)

c. (q −→ p) ←→ r

Expert Solution
Step 1

(a) ¬p : The temperature is below 89◦
     q : We finished studying.
    ¬r : We do not go to the beach.

(p ∧ q) = (q ∧ p) = We finished studying but the temperature is above 89◦.

¬r ∨ (p ∧ q)= Either we do not go to the beach or we finished studying but the temperature is above 89◦.

 

 

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