Answer to Question #145540 in Discrete Mathematics for Claire

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

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