Logic, Sets, and Counting

Practice Questions

Finite Mathematics › Logic, Sets, and Counting

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1

True or false: has more than one million subsets.

2

Consider the conditional statements:

"If Mickey is a Freemason, then Nelson is a Freemason."

"If Oscar is not a Freemason, then Nelson is not a Freemason."

Nelson is a Freemason. What can be concluded about whether or not Mickey and Oscar are Freemasons?

3

Try without a calculator:

Which of the following is equal to ?

4

Let be the set of all persons who died in 1941.

True or false: is a well-defined set.

5

Consider the statement

"If , then "

Which is true - its converse or its inverse?

6

Consider the statement

If , then .

Which is true - its converse or its contrapositive?

7

Define to be the set of all smart Australians.

True or false: is an example of a well-defined set.

8

.

Which of the following could be the set ?

9

True or false: The sentence "7 is a composite number" is a logical statement.

10

Consider the conditional statement

"If then ."

The conditional statement "If , then " is the ____________ of that conditional.

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