Back to: O level mathematics notes syllabus uganda
The Venn diagram
The Venn diagram is used to simplify solving problems in sets. It can
also be used to illustrate sets.
Example
Given that set A = {1, 2, 3, 4, 5} and B = {2, 4, 6, 8}. Use a Venn diagram
to find:
a) i) A n B
ii) n (A n B)
b) i) A U B
ii) n (A U B)
Solution
i) A n B = {2,4}
ii) n (A n B) = 2
b) i) A U B = {1,2,3,4,5,6,8}
ii) n (A U B) = 7
Example
Given that P = {1, 3, 5, 7, 9, 11, 13, 15} and Q = {3, 9, 15}. Illustrate this
information in a Venn diagram.
Solution
Since Q < P , Q is drawn inside P.
P n Q = {3, 9,15} = Q
P U Q = {1, 3, 5, 7, 9,11,13,15} = p
Example
Given that, R = {2, 4, 6, 8} and S = {1, 3, 5, 7}. Show this information in
a Venn diagram.
Solution
Here R and S are disjoint sets i.e., R n S {} so R and S are drawn
separately as shown below
