Sets and Problems involving Sets

Given the set of letters in the word “LOVE”. What is the cardinality of the given set?

• 11

• 8

• 6

• 4

A = {1,2,3,4,5,6} and B = {2,4,6} Which of the following represent A U B?

• {3,4,6}

• {1,2,3,4,5,6}

• {2,4,6}

A = { 1,5,3,7,9} and B = {2,3,4,5,6} then A n B = ___

• { 1,5,3,7,9 }

• {2,3,4,5,6}

• { 3, 5}

A = {1,2,3} and B = {4,5,6} then A n B = ______?

• {}

• Prime numbers

• Universal set

What type of set is denoted as either { } or ∅?

• Superset

• Empty (or Null) Set

• Disjointed Set

• Subset

Michelle listed the set of all letters in the word “serendipity” as shown below. What is wrong with this set?

A = {s, e, r, e, n, d, i, p, i, t, y}

• It uses commas.

• It uses braces.

• The objects in this set are not listed once.

• A capital letter is used to represent this set.

The set of secondary colors.

• M = {red, green, yellow}

• N = {brown, pink, blue}

• O = {green, orange, violet}

• P = {white, black, grey}

The set of months containing 30 days.

• I = {January, March, May}

• J = {February, April, June}

• K = {June, July, August}

• L = {June, September, November}

The set of provinces in Region 12.

• E = {Aklan, Antique, Capiz, Guimaras, Ilo-ilo, Negros Occidental}

• F = {South Cotabato, North Cotabato, Sultan Kudarat, Sarangani, General Santos}

• G = {Ilocos Norte, Ilocos Sur, La Union, Pangasinan}

• H = {Cavite, Laguna, Batangas, Rizal, Quezon}

Given: A = {b, i, o, d, e, g, r, a, d, a, b, l, e}, which of the following is INCORRECT?

• It uses capital letter to name set.

• It does not list the object once.

• It uses braces.

• It uses commas.