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;

 Display area

b) Ö5 is not a rational number;
 Display area

c) The integers are a proper subset of the real numbers;
 Display area

2. For each of the following statements, decide whether it is true or false:

a) -5 Î {2m + 1 : m Î 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 Ç B = {x : x Î A ... ...}

 Display area A Ç B = {x : x Î A ... ...}

b) Complete the definition: A È B = {x : x Î A ... ...};
 Display area A È B = {x : x Î A ... ... }

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

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

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

 Display area A È (B È C) =

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