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Essay Lab

Math Shack

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Logic and Proof
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Logic and Proof
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Make a (Mathematical) Statement True or False Quiz
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TABLE OF CONTENTS
Intro
Topics
Examples
Exercises
Math Shack Problems
Quizzes
Make a (Mathematical) Statement
True or False
Flashcards
Equality and Congruence for All!
Provin' and Groovin'
Terms
Handouts
Best of the Web
Logic and Proof: Make a (Mathematical) Statement True or False
1.
Is the statement "1 + 1 = 2 or any two points determine a line" true or false? > False
True
False
2.
What is the converse of
r
→
z
? >
z
→
r
True
False
3.
Which of "and," "not," and "or" link two statements together? > "not"
True
False
4.
How many values of
x
make the statement "
x
≤ 5 and
x
≥ 5" true? > Infinitely many
True
False
5.
Suppose we know
a
→
b
,
b
→
c
. If we know
b
is true, may we infer
c
? > Yes, by detachment
True
False
6.
Is the contrapositive of "Everything brown is a dog" true? > No, and a white dog is a counterexample
True
False
7.
Which is an example of something "white or not soft?" > White rock candy
True
False
8.
Suppose that
p
→
q
and
p
→
r
. May we infer that
q
→
r
? > No
True
False
9.
What is the converse of not
p
→ not
q
? > not
q
→ not
p
True
False
10.
The statements
p
→
q
and
q
→
r
are given. If we know
q
to be true, which of the following CANNOT be assumed as true? >
p
True
False
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