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Basic Math Proof Techniques Quiz

Authored by Ryan Villastique

Instructional Technology

University

Basic Math Proof Techniques Quiz
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a mathematical statement?

A statement that has no truth value

A statement that is always true

A statement that is either true or false

A statement that can be both true and false

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a true statement?

6 is an even integer

1 + 1 = 10

10 is an odd integer

The moon is flat

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the logical operator 'AND' represent?

¬

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the symbol for 'There exists'?

¬

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which proof technique assumes the opposite of what you want to prove?

Direct Proof

Proof by Induction

Proof by Contradiction

Proof by Contrapositive

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of an even integer?

n = 2k + 1

n = 2k

n = k + 1

n = 2k - 1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a direct proof, what is the first step?

Assume P is true

Assume Q is true

Show a contradiction

Use induction

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