Sets and Real Numbers

Which of the following is a well-defined set?

• Set of beautiful actresses.

• Set of soccer teams in the Premier League.

• Set of honest politicians.

• Set of happy soccer players in Europe.

What set describes the following elements?

{4, 6, 8. 10, 12}

• Set of even numbers.

• Set of even numbers between 4 and 12.

• Set of even numbers from 4 up to 12.

• Set of even numbers less than 14.

Which of the following does not describe the set below?

B = {3, 5, 7, 9, 11}

• B = {x | x is an odd number from 3 up to 11}

• B = {odd numbers between 1 and 13}

• B = {x | x is an odd number less than 12}

• B = {odd numbers greater than 2 but less than 12}

Which of the following is the roster method of the set below?

C = {distinct letters of the word "COOL"}

• C = {C, O, O, L}

• C = {C, O, L}

Identify what type of set is the given set below?

{consonants of the English alphabet}

• Finite set

• Empty Set

• Infinite Set

If A = {months of the year with 31 days}, what is n(A)?

• 7

• 6

• 5

• 4

Given:

A = {k, a, t, e}

B = {f, a, k, e}

C = {t, a, k, e}

Which sets are equivalent but not equal?

• A and C

• B and C

• All of the given sets.

• None of the given sets.

Which of the following is an improper subset of the given set below?

U = {first 5 prime numbers}

• A = {3, 5, 7, 11, 13}

• B = {1, 2, 3, 7, 11}

• C = {2, 3, 5, 7, 11}

• D = {1, 3, 5, 7, 11}

How many subsets does a set with 4 elements have?

• 4 subsets

• 8 subsets

• 16 subsets

• 32 subsets

Given:

U = {first 5 even numbers}

A = {4, 6, 8. 10}

B = {2, 4, 6, 8}

C = {2, 4, 6, 8, 10}

Which of the following statement is FALSE?

• A ⊂ U

• C ⊆ U

• U ⊂ B

• B ⊂ C