Solution to a) Write each statement in symbolic form using p, q and r. If I study, … - Sikademy
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Archangel Macsika

a) Write each statement in symbolic form using p, q and r. If I study, then I will not fail mathematics. If I do not play basketball, then I will study. But I failed mathematics. Then, test the validity of the following argument by using the truth table.

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Solution:

Define

p = I study

q = I will fail mathematics

r = I play basketball

(i) If I study, then I will not fail mathematics.

Symbolic form: p\rightarrow \sim q

Its truth table:



(ii) If I do not play basketball, then I will study. But I failed mathematics.

Symbolic form: \sim r\rightarrow p ∧q

Its truth table:


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Question ID: mtid-5-stid-8-sqid-2863-qpid-1420