What is the result of evaluating the predicate P(5)?

Understanding Mathematical Predicates and Quantifiers

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Easy

Liam Anderson
Used 2+ times
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
True, because 21 is even.
False, because 21 is not even.
False, because 2 is a factor of 21.
True, because 2 is a factor of 21.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the existential quantifier symbol represent?
Some
For all
None
There exists
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which symbol is used for the universal quantifier?
A capital E facing the wrong direction
A backward capital E
An upside-down capital A
A regular capital A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What can be concluded about the existence of an x such that P(x) is true?
It is true only for x = 5.
It is definitely false.
It is definitely true.
It could be true or false depending on the domain.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't we conclude the truth of 'there exists an x such that P(x) is true'?
Because 4x + 1 is always odd.
Because the domain of discourse is unknown.
Because P(5) is true.
Because P(5) is false.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the statement 'for every x, P(x) is true' imply if P(5) is false?
The statement is false for some x.
The statement is true for some x.
The statement is false.
The statement is true.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you show that a universal statement is false?
By proving the statement is false for all x.
By showing the negation is true.
By showing the negation is false.
By proving the statement is true for all x.
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