Answer to Question #259846 in Discrete Mathematics for sheikh sahab

Question

5. Let p be the proposition “I will solve every question in this assignment” and q be the proposition “I will be fully prepared for upcoming topics” Express each of these as a combination of p and q. a. I will be fully prepared for upcoming topics only if I will solve every question in this assignment. b. I will be fully prepared for upcoming topics and I will solve every question in this assignment. c. Either I will not be fully prepared for upcoming topics or I will notsolve every question in this assignment. d. For me to be fully prepared for upcoming topicsit is necessary and sufficient that I solve every question in this assignment

Answer 1

a. I will be fully prepared for upcoming topics only if I will solve every question in this assignment

$p \to q$

b. I will be fully prepared for upcoming topics and I will solve every question in this assignment.

$q \wedge p$

c. Either I will not be fully prepared for upcoming topics or I will notsolve every question in this assignment

$\neg q \vee \neg p$

d. For me to be fully prepared for upcoming topicsit is necessary and sufficient that I solve every question in this assignment

$q \leftrightarrow p$