Webo A tautology is a statement that is always true regardless of the truth values of the individual statements. o A contradiction a statement that is always false regardless of the truth values of the individual statements. Example: p or ∼p (tautology) and p and ∼p (contradiction) 1.2 Conditional Propositions and Logical Equivalence WebA compound statement is a sentence that consists of two or more statements separated by logical connectors. View our Lesson on Conjunction.

1.1: Compound Statements - Mathematics LibreTexts

WebA compound statement that is always true is called a_____, and a compound statement that is always false is called a_____. . This problem has been solved! You'll get a detailed … WebSince that compound expression is made entirely out of AND operators, every condition must be true for the computer to execute the instructions inside. As soon as any of those … ff14 classical water jug

"If and Only If" - University of Hawaiʻi

WebMay 20, 2024 · There are two cases in which compound statements can be made that result in either always true or always false. These are called tautologies and contradictions, respectively. Let's consider a tautology first, and then a contradiction: WebA statement (or, proposition) is a sentence that is true or false but not both. Examples 1 “The area of the circle of radius r is r2π” is a statement. So is “sin(π/2) = 0”. The first is … WebBiconditional Statements: A statement where the original and the converse are both true. Compound Statement: Combination of two or more statements. Conjunction: A compound statement using the word “and.”. Disjunction: A compound statement using the word “or.”. Truth Value: The truth value of a statement is either true or false. ff14 classes at 50