Discrete Mathematics Exam 1 UPDATED ACTUAL Exam Questions and CORRECT Answers

Discrete Mathematics Exam 1 UPDATED
ACTUAL Exam Questions and CORRECT
Answers
¬p - CORRECT ANSWER- ✔✔negation of p (opposite)



p ∧ q - CORRECT ANSWER- ✔✔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 - CORRECT ANSWER- ✔✔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 - CORRECT ANSWER- ✔✔exclusive or
one of p and q must be true, but not both.


p → q - CORRECT ANSWER- ✔✔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 - CORRECT ANSWER- ✔✔if p, then q
if p, q
q unless ¬p
q if p
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 - CORRECT ANSWER- ✔✔q --> p



What is the contrapositive of p → q - CORRECT ANSWER- ✔✔¬q → ¬p



What is the inverse of p → q - CORRECT ANSWER- ✔✔¬p → ¬q



p <--> q - CORRECT ANSWER- ✔✔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 - CORRECT ANSWER- ✔✔p is
necessary and sufficient for q.
if p then q, and conversely.
p if q


Precedence of Logical Operators - CORRECT ANSWER- ✔✔1) ¬ (negation)
2) ∧ (conjunction)
3) ∨ (disjunction)
4) → (implication)
5) ↔ (biconditional)
*Parenthesis takes precedence


tautology - CORRECT ANSWER- ✔✔a proposition which is always true



contradiction - CORRECT ANSWER- ✔✔a proposition which is always false



contingency - CORRECT ANSWER- ✔✔a proposition which is neither atautology nor a
contradiction, such as p