Answer to Question #145679 in Discrete Mathematics for Eugene Galvez

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. $\neg (\neg p \vee \neg r)$