Conditional Statements
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is an if-then statement that expresses a relationship between two propositions, typically written in the form p→q, where p is the hypothesis and q is the conclusion.
2.
FLASHCARD QUESTION
Front
What is the converse of a conditional statement p→q?
Back
The converse of a conditional statement p→q is q→p.
3.
FLASHCARD QUESTION
Front
What is the inverse of a conditional statement p→q?
Back
The inverse of a conditional statement p→q is ∼p→∼q.
4.
FLASHCARD QUESTION
Front
What is the contrapositive of a conditional statement p→q?
Back
The contrapositive of a conditional statement p→q is ∼q→∼p.
5.
FLASHCARD QUESTION
Front
What does 'biconditional' mean in logic?
Back
A biconditional statement is a statement that combines two conditional statements, written as 'p if and only if q' (p ↔ q), meaning both p and q are true or both are false.
6.
FLASHCARD QUESTION
Front
How do you form the converse of a statement?
Back
To form the converse of a statement, you switch the hypothesis and conclusion.
7.
FLASHCARD QUESTION
Front
What is the relationship between a conditional statement and its contrapositive?
Back
A conditional statement and its contrapositive are logically equivalent; if one is true, the other is also true.
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