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Discrete Mathematics Exam 1 Questions
and Answers 100% Solved
¬p - ✔✔negation of p (opposite)
p ∧ q - ✔✔The conjunction of propositions p and q (and)
The conjunction p ∧ q is true when both p and q are true and is false
otherwise.
p ∨ q - ✔✔The disjunction of propositions p and q (inclusive or)
A disjunction is true when at least one of the two propositions is true.
p (+) q - ✔✔exclusive or
one of p and q must be true, but not both.
p → q - ✔✔implication, which is read as "if p, then q"
true when both p and q are true and when p isfalse
Different Ways of Expressing p → q - ✔✔if p, then q
if p, q
q unless ¬p
q if p
, ©JOSHCLAY 2024/2025. YEAR PUBLISHED 2024.
q whenever p
q follows from p
p implies q
p only if q
q when p
p is sufficient for q
q is necessary for p
a necessary condition for p is q
a sufficient condition for q is p
What is the converse of p → q - ✔✔q --> p
What is the contrapositive of p → q - ✔✔¬q → ¬p
What is the inverse of p → q - ✔✔¬p → ¬q
p <--> q - ✔✔The biconditional proposition, read as "p if and only if q"
true when p and q have the same truth values and is false otherwise
Different ways of expressing the biconditional proposition - ✔✔p is
necessary and sufficient for q.
if p then q, and conversely.
p if q
Discrete Mathematics Exam 1 Questions
and Answers 100% Solved
¬p - ✔✔negation of p (opposite)
p ∧ q - ✔✔The conjunction of propositions p and q (and)
The conjunction p ∧ q is true when both p and q are true and is false
otherwise.
p ∨ q - ✔✔The disjunction of propositions p and q (inclusive or)
A disjunction is true when at least one of the two propositions is true.
p (+) q - ✔✔exclusive or
one of p and q must be true, but not both.
p → q - ✔✔implication, which is read as "if p, then q"
true when both p and q are true and when p isfalse
Different Ways of Expressing p → q - ✔✔if p, then q
if p, q
q unless ¬p
q if p
, ©JOSHCLAY 2024/2025. YEAR PUBLISHED 2024.
q whenever p
q follows from p
p implies q
p only if q
q when p
p is sufficient for q
q is necessary for p
a necessary condition for p is q
a sufficient condition for q is p
What is the converse of p → q - ✔✔q --> p
What is the contrapositive of p → q - ✔✔¬q → ¬p
What is the inverse of p → q - ✔✔¬p → ¬q
p <--> q - ✔✔The biconditional proposition, read as "p if and only if q"
true when p and q have the same truth values and is false otherwise
Different ways of expressing the biconditional proposition - ✔✔p is
necessary and sufficient for q.
if p then q, and conversely.
p if q
