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

$1. p \lor r\\ 2.p \lor \lnot q\\ 3.p \land q\\ 4.q \lor r\\ 5.\lnot r \land q\\ 6.\lnot p \lor r\\ 7.p \lor \lnot p\\ 8. (p \land q) \lor r\\ 9.\lnot(p \lor r)\\ 10. \lnot(\lnot p \lor \lnot r)$