2.4.1 Quick Quiz

Answer the following questions and then click the 'Check Answers' button at the end of the quiz to see your score.

Note: Where you are required to type in an answer, use the input field to type in the letters, and the panel of buttons to insert the symbols. If the last character you enter is a letter or a digit, you will need to click the 'Refresh Display' button.

1. Write each of the following statements in symbols, denoting the sets of numbers by the standard letters.

a) 5 is a positive integer;

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b) 5 is not a rational number;
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c) The integers are a proper subset of the real numbers;
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2. For each of the following statements, decide whether it is true or false:

a) -5 {2m + 1 : m Z};

True
False

 


b) {0} =.

True
False

 


c) The cardinality of the set {a,b,c,a,b} is 5.

True
False

 


d) A set with 5 elements has exactly 32 subsets.

True
False

 


3. Let A,B be subsets of a universal set u.

a) Complete the definition: A B = {x : x A ... ...}

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A B = {x : x A ... ...}

 
 

 

b) Complete the definition: A B = {x : x A ... ...};
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A B = {x : x A ... ... }

 
 

 

c) Complete the statement of De Morgan's Law: (A B)' = ... ...;
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(A B)' =

 
 

 


4. Let A, B, C be subsets of a universal set u.

a) Complete the statement of the associative law: A (B C) = ... ...;

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A (B C) =

 
 

 

b) Complete the statement of the distributive law: A (B C) = ... ...;
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A (B C) =