Sets and Set Operations

A well-defined set is a group, list, or collection of easily identified objects that shared a common characteristic. Which of the following is NOT a well-defined set?

• collection of delicious meals in the canteen

• list of subjects in Grade 7 level

• group of Grade 7 male students

• the basketball team in Makati

The following is a subset A = { 1, 2, 3, 4, 5 }, except:

• 𝑊 = {7}

• 𝑋 = {1, 2}

• 𝑌 = {3, 4, 5}

• 𝑍 = {2, 3, 4, 5}

Let P be the set of letters of the word “MATH”. Find the n(P).

• 2

• 3

• 4

• 5

Which statement describes a well-defined set?

• collection of tasty fruits

• collection of colors in the rainbow

• collection of easy problems in the textbooks

• collection of honest members in the family.

It is a set operation where the resulting set is obtained by getting the common elements found in both sets.

• Union of a Set

• Intersection of a Set

• Complement of a Set

• Difference of a Set

Which of the following sets is described using set-builder notation?

• {1, 2, 3, 5}

• {#, 𝑎, 9, $}

• {𝑠𝑒𝑡 𝑜𝑓 𝑐𝑜𝑛𝑠𝑜𝑛𝑎𝑛𝑡𝑠}

• {𝑥|𝑥 𝑖𝑠 𝑎 𝑝𝑟𝑖𝑚𝑒 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 24}

Let X and Y be the following sets: 𝑋 = {1, 3, 5} and 𝑌 = {2, 4, 6}. Find 𝑋 ∪ 𝑌.

• {1, 2, 3, 4, 5, 6}

• {2, 3, 4, 6}

• {2, 4, 5, 6}

• ∅

If the universal set 𝑈 = {1,2, 3, 4, 5} and 𝐴 = {2, 5}, then which set refers to 𝐴′?

• {1,2, 3, 4, 5}

• {1,2, 3, 4}

• {1, 3, 5}

• {1, 3, 4}

Which of the following statements is TRUE to the given sets 𝐴 = {2, 3, 5, 6} and 𝐵 = {1, 2, 3, 4, 5, 6} ?

• 𝐴 = 𝐵

• 𝐴~𝐵

• A ∈ 𝐵

• 𝐴 ⊆ 𝐵

Which of the following is not equivalent to the set { m, o, v, i, e }?

• {1, 2, 3, 4, 5}

• {#, @, 7, 8, ∗, 9 }

• {𝑠, 𝑚, 𝑎, 𝑟, 𝑡}

• {𝑏, 𝑟, 𝑎, 𝑣, 𝑒}