Answer to Question #147065 in Discrete Mathematics for taha

Question

a) Let p, q, and r be the propositions
p : You study hard.
q : You are on merit
r : You do not get degree from Iqra University.
Express each of these propositions as an English sentence.
i) ¬q ↔ r ii) q →¬ r iii) p∨q ∨¬r iv) (p →¬r)∨(q →¬r) v) (p∧q)∨(¬q ∧¬r)

Answer 1

1) You won't on merit if and only if you do not get degree from Iqra University.

2) If you are on merit then you will get degree from Iqra University.

3)  You study hard OR you are on merit OR you get degree from Iqra University.

4) If you study hard then you will get degree from Iqra University OR If you are on merit then you will get degree from Iqra University.

5) You study hard and you are on merit OR You won't on merit and you will get degree from Iqra University