Answer to Question #211324 in Discrete Mathematics for Naresh

Question

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.

Answer 1

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: