Tuesday 17 October 2017


A set is a well-defined collection of objects or elements. Questions on sets may involve concepts such as the universal set, null set, subset, cardinal number, union, intersection and complement. The Venn diagram is a useful tool when solving problems involving sets so it is important to be able to draw a Venn diagram and then use this to solve the questions that follow.

Sample question

U = { Natural numbers from 1 to 10 inclusive }

K = { Factors of 6 }

L= { Even numbers }

(a)Fill in the Venn diagram below:

(i)Use ✔ to indicate whether each of the following statements is true or false. Give a reason for each answer.

K ∩ L = { }

True ø False ø✔

The statement is false because K ∩ L = {2, 6 }

(ii)K ≠ L

True ø✔ False ø

The statement is true as K = {1, 2, 3, 6} and L = {2, 4, 6, 8, 10} which are not equal sets.

(iii)K U L = U

True ø False ø✔

The statement is false because K U L = {1, 2, 3, 4, 6, 8, 10}which does not include the elements 5, 7, 9 that are part of the Universal set.

Irish Independent

Independent.ie Comments Facility

INM has taken the decision to remove the commenting facility on its online platform Independent.ie to minimise the legal risk to our business that arises from Ireland's draconian libel awards system.

We continue to look forward to receiving comments through direct email contact or via social media, some of which may still be featured on the website Independent.ie

Editor's Choice

Also in Irish News