Question

Write each statement in symbolic form, using the given symbols.



Let p: I will study.

Let q: I will pass the test.

Let r: I am foolish.


1. I will study or I am foolish.

2. I will study or I will not pass the test.

3. I will study and I will pass the test.



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MATHEMATICS IN THE MODERN WORLD



4. I will past the test or I am foolish.

5. I am not foolish and I will pass the test.

6. I will not study or I am foolish.

7. I will study or I will not study.

8. I will study and I will pass the test, or I am foolish.

9. 9. It is not true that I will study or I am foolish.

10. It is not the case that I will not study or I am not foolish.

Answer 1

1. $p \vee r$
2. $p \vee \neg q$
3. $p \wedge q$
4. $q \vee r$
5. $\neg r \wedge q$
6. $\neg p \vee r$
7. $p \vee \neg p$
8. $(p \wedge q) \vee r$
9. $\neg (p \vee r)$
10. $\neg (\neg p \vee \neg r)$