Related Conditionals
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+7
Standards-aligned
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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 (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.
Tags
CCSS.L.11-12.6
CCSS.L.9-10.6
CCSS.W.11-12.2D
CCSS.W.8.2D
CCSS.W.9-10.2D
2.
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', denoted as @@ eg Q ightarrow eg P @@.
3.
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', denoted as @@ eg P ightarrow eg Q @@.
4.
FLASHCARD QUESTION
Front
What is the converse of a conditional statement?
Back
The converse of a conditional statement 'If P, then Q' is 'If Q, then P', denoted as @@ Q ightarrow P @@.
5.
FLASHCARD QUESTION
Front
How do you form the contrapositive of the statement: 'If you play the guitar, then you are a musician'?
Back
The contrapositive is: 'If you are not a musician, then you do not play the guitar'.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
6.
FLASHCARD QUESTION
Front
How do you form the inverse of the statement: 'If you are 13, then you are a teenager'?
Back
The inverse is: 'If you are not 13, then you are not a teenager'.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
7.
FLASHCARD QUESTION
Front
What is the relationship between a statement and its contrapositive?
Back
A statement and its contrapositive are logically equivalent; if one is true, the other is also true.
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