Answer to Question #180870 in Discrete Mathematics for Angelie Suarez

Question

PROPOSITIONAL LOGIC:

A. Which of the following are propositions? Write P for proposition and NP for

not proposition.

1. Why should we study Discrete Mathematics?

2. 10 is divisible by 3

3. 3>1 and 4 is a not an integer

4. Wear your facemask.

5. Fifteen is an even number.

6. Go directly to him.

7. If 8 is prime, then 56 is not prime.

8. From where are you?

9. Some prime is even.

10. A + B is equal to C

Answer 1

A proposition is a statement that is either true or false. 

1. Why should we study Discrete Mathematics? - this is not proposition. This is only question.

2. 10 is divisible by 3 - this is proposition, which is false.

3. 3>1 and 4 is a not an integer - this is a proposition, is false

4. Wear your facemask. - this is not proposition, is imperative mood sentence.

5. Fifteen is an even number. this is proposition, is false.

6. Go directly to him. - this is not proposition, is imperative mood sentence.

7. If 8 is prime, then 56 is not prime. - this is proposition, in it is conclusion that from

8 is prime follows that 56 is prime.

8. From where are you? - this is not proposition. This is only question.

9. Some prime is even. - this is proposition, is true.

10. A + B is equal to C - this is proposition, it may be true or false (depends on value of A, B, C)