2. Write the statement in symbolic form. P: The apartment is hot. Q: The temperature is 75°. R: The air conditioner is working. Let (a) The temperature is 75° and the air conditioner is working, or the apartment is hot. (b) If the temperature is 75° and the air conditioner is not working, then the apartment is hot. (c) If the temperature is not 75° , then the air conditioner is working, or the apartment is not hot.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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2. Write the statement in symbolic form.
P: The apartment is hot.
Q: The temperature is 75°.
R: The air conditioner is working.
Let
(a) The temperature is 75° and the air conditioner is working, or the apartment is hot.
(b) If the temperature is 75° and the air conditioner is not working, then the apartment is hot.
(c) If the temperature is not 75° , then the air conditioner is working, or the apartment is not hot.
(d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not working.
(e) If the air conditioner is working, then the temperature is 75° if and only if the apartment is hot.
Transcribed Image Text:2. Write the statement in symbolic form. P: The apartment is hot. Q: The temperature is 75°. R: The air conditioner is working. Let (a) The temperature is 75° and the air conditioner is working, or the apartment is hot. (b) If the temperature is 75° and the air conditioner is not working, then the apartment is hot. (c) If the temperature is not 75° , then the air conditioner is working, or the apartment is not hot. (d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not working. (e) If the air conditioner is working, then the temperature is 75° if and only if the apartment is hot.
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