
Understanding Logical Statements: Negation, Converse, and Contrapositive

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial problem discussed in the video?
Understanding the concept of limits
Solving a complex mathematical equation
Learning about probability distributions
Determining the negation, converse, and contrapositive of a statement
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in negating a statement?
Finding the derivative
Simplifying the equation
Changing the quantifier type
Interchanging the hypothesis and conclusion
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the negation of the implication 'if P then Q' become?
P and not Q
Not P and Q
P or not Q
Not P or Q
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what does the negation of 'x squared is less than one' become?
x squared is greater than zero
x squared is equal to one
x squared is less than zero
x squared is greater than or equal to one
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the converse of a statement?
Interchanging the hypothesis and conclusion
Negating both the hypothesis and conclusion
Changing the quantifier type
Simplifying the statement
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the quantifier type change when forming the converse?
It is removed entirely
It changes from 'for every' to 'there exists'
It remains the same
It changes from 'there exists' to 'for every'
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the contrapositive of 'if P then Q'?
If Q then P
If not Q then not P
If not P then not Q
If P and not Q
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