Discrete Math Final Exam Test Questions 2024.

Discrete Math Final Exam Test Questions 2024. Statement - ANSWER A statement (proposition) is a sentence that is either true or false, but not both. Negation - ANSWER A negation of a statement p is the statement "not p" or "it is not the case that p," and is denoted by ⌐p. A statement and its negation always have the opposite truth value. Conjunction - ANSWER The conjunction of two statements p and q is the statement "p and q," and is denoted by p ᴧ q. The conjunction p ᴧ q is true if both p and q are true and is false otherwise. Disjunction - ANSWER The disjunction of two statements p and q is the statement "p or q," and is denoted by p v q. The disjunction p v q is true if either of p and q are true or if both are true. Conditional - ANSWER A statement of the form "if p, then q" where p and q are statements, is called a conditional and is denoted by p - q. Forms of the conditional statement - ANSWER The conditional, p→ q can be stated in any of the following ways: If p, then q q if p p implies q p only if q p is sufficient for q q is necessary for p Tautology - ANSWER A tautology is a statment that is always true no matter what truth values are assigned to the statements appearing in it. Fallacy(or Contradiction) - ANSWER A fallacy(or Contradiction) is a statement that is always false.