Discrete Math Chapter 1 (CSCI 2610 @
UGA) Question and answers verified
to pass 2026
Conjunction - correct answer ✔The conjunction "p and q" is denoted by p∧q.
The conjunction p∧q is true when both p and q are true and is false otherwise.
Disjunction - correct answer ✔The disjunction "p or q" is denoted by p∨q.
The disjunction p∨q is false when both p and q are false and is true otherwise.
Exclusive Or (XOR) - correct answer ✔The exclusive or "p xor q" is denoted by p⊕q.
The exclusive or p⊕q is true when exactly one of p or q is true and is false otherwise.
Conditional Statement (Implication) - correct answer ✔The implication "if p then q" is denoted by
p→q.
The implication p→q is false when p is true and q is false. It is true otherwise.
Negation Operator - correct answer ✔The negation operator "not" is denoted by the symbol ¬.
∴¬p represents "not p"
Converse - correct answer ✔q → p
Inverse - correct answer ✔¬p → ¬q
Contrapositive (*) - correct answer ✔¬q → ¬p
UGA) Question and answers verified
to pass 2026
Conjunction - correct answer ✔The conjunction "p and q" is denoted by p∧q.
The conjunction p∧q is true when both p and q are true and is false otherwise.
Disjunction - correct answer ✔The disjunction "p or q" is denoted by p∨q.
The disjunction p∨q is false when both p and q are false and is true otherwise.
Exclusive Or (XOR) - correct answer ✔The exclusive or "p xor q" is denoted by p⊕q.
The exclusive or p⊕q is true when exactly one of p or q is true and is false otherwise.
Conditional Statement (Implication) - correct answer ✔The implication "if p then q" is denoted by
p→q.
The implication p→q is false when p is true and q is false. It is true otherwise.
Negation Operator - correct answer ✔The negation operator "not" is denoted by the symbol ¬.
∴¬p represents "not p"
Converse - correct answer ✔q → p
Inverse - correct answer ✔¬p → ¬q
Contrapositive (*) - correct answer ✔¬q → ¬p
