Consider the following list of sentences about members of the set P of all people. 1. If anyone does not have a black hat, then they are over ten feet tall. 2. If anyone is not over ten feet tall, then they have a black hat. 3. Someone has a black hat. 4. Everyone who has a black hat is over ten feet tall. 5. Everyone who is over ten feet tall has a black hat. 6. If someone does not have a black hat, then they are not over ten feet tall. 7. Everyone having a black hat is not over ten feet tall. 8. Someone has a black hat and is over ten feet tall. Let b (x) be the predicate x has a black hat and let t (x) be the predicate x is ten feet tall. Enter the number of the sentence which corresponds to the logical expression. 1) 3x e P| b (x) A t (x) 2) Vx E P, b(x) — t (х) 3) Vx E P, t (x) → b (x) 4) Эх € P| b(х) 5) Vx e P, ¬b (x) → t (x) 6) xE P, b (х) — ~t (x)
Consider the following list of sentences about members of the set P of all people. 1. If anyone does not have a black hat, then they are over ten feet tall. 2. If anyone is not over ten feet tall, then they have a black hat. 3. Someone has a black hat. 4. Everyone who has a black hat is over ten feet tall. 5. Everyone who is over ten feet tall has a black hat. 6. If someone does not have a black hat, then they are not over ten feet tall. 7. Everyone having a black hat is not over ten feet tall. 8. Someone has a black hat and is over ten feet tall. Let b (x) be the predicate x has a black hat and let t (x) be the predicate x is ten feet tall. Enter the number of the sentence which corresponds to the logical expression. 1) 3x e P| b (x) A t (x) 2) Vx E P, b(x) — t (х) 3) Vx E P, t (x) → b (x) 4) Эх € P| b(х) 5) Vx e P, ¬b (x) → t (x) 6) xE P, b (х) — ~t (x)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following list of sentences about members of the set P of all people.
1. If anyone does not have a black hat, then they are over ten feet tall.
2. If anyone is not over ten feet tall, then they have a black hat.
3. Someone has a black hat.
4. Everyone who has a black hat is over ten feet tall.
5. Everyone who is over ten feet tall has a black hat.
6. If someone does not have a black hat, then they are not over ten feet tall.
7. Everyone having a black hat is not over ten feet tall.
8. Someone has a black hat and is over ten feet tall.
Let b (x) be the predicate x has a black hat and let t (x) be the predicate x is ten feet tall. Enter the number of the sentence which corresponds to the logical expression.
1) Эх € P|b (х) лt (х)
2) Vx E P, b (х) — t (х)
3) Vx E P, t (x) — b (х)
4) 3x E P | b (x)
5) Vx € P, -b (х) — t (х)
6) Vx € P, b (х)
→ ¬t (x)
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