WGU C960 DISCRETE MATH II OA FULL SOLUTION STUDY GUIDE

WGU C960 DISCRETE MATH II OA FULL
SOLUTION STUDY GUIDE

◉ conjunction (^, and).
Answer: - p ∧ q is true if both p is true and q is true
- p ∧ q is false if p is false, q is false, or both are false


◉ disjunction (v, inclusive or).
Answer: - p ∨ q is true if either one of p or q is true, or
- p V q is true if both are true


◉ exclusive or (⊕).
Answer: p and q evaluate to true when p is true and q is false or
when q is true and p is false.


◉ negation operation (¬).
Answer: reverses the truth value of a proposition


◉ order of operations (no parenthesis).
Answer: negation, conjunction (and), disjunction (or)

, ◉ conditional operation (→).
Answer: The proposition p → q is false if p is true and q is false;
otherwise, p → q is true.


◉ biconditional operation (↔).
Answer: The proposition p ↔ q is true when p and q have the same
truth value and is false when p and q have different truth values.


◉ Converse Statement.
Answer: q → p
the opposite of the conditional statement


◉ inverse statement.
Answer: ¬p → ¬q
the negation of the conditional statement


◉ contrapositive statement.
Answer: ¬q → ¬p
the opposite and negative of the conditional statement


◉ tautology (t).
Answer: a statement that is always true