Conditional Statements
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically expressed in the form "If p, then q."
2.
FLASHCARD QUESTION
Front
What is the hypothesis in a conditional statement?
Back
The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be true for the conclusion to follow.
3.
FLASHCARD QUESTION
Front
What is the conclusion in a conditional statement?
Back
The conclusion is the part of the conditional statement that follows 'then'. It represents the result that follows if the hypothesis is true.
4.
FLASHCARD QUESTION
Front
What is the negation of a statement?
Back
The negation of a statement is the opposite of the original statement. If the original statement is true, the negation is false, and vice versa.
5.
FLASHCARD QUESTION
Front
What is the negation of the hypothesis (~p) in the statement: If it is Valentine's Day, then the month is February?
Back
It is not Valentine's Day.
6.
FLASHCARD QUESTION
Front
What is the inverse of a conditional statement?
Back
The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'.
7.
FLASHCARD QUESTION
Front
What is the contrapositive of a conditional statement?
Back
The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'. It is logically equivalent to the original statement.
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