VENN DIAGRAM

Definition of Venn Diagram

A Venn diagram is a diagram that uses circles to illustrate the relationships among sets.

Examples of Venn Diagram

    The Venn diagram below shows the number of grade 5 students who scored above 50% on Math, above 50% on Science, and above 50% on both Math and Science
    From the Venn diagram, we learn that 16 students scored above 50% on Math, 21 students scored above 50% on Science, and 6 students scored above 50% on both Math and Science.

Video Examples: Solving Problems with Venn Diagrams


Solved Example on Venn Diagram

Ques: Find the LCM of 14 and 36 using a Venn diagram.

    Choices:
    A. 256
    B. 252
    C. 254
    D. 250
    Correct Answer: B

Solution:

    Step 1: 14 = 2 7 36 = 2 2 3 3 [Write the prime factors of 14 and 36.]
    Step 2: Represent all the prime factors of 14 and 36 in a Venn diagram
    Step 3: 7 2 3 3 2 = 252 [Multiply all the factors in the Venn diagram.]
    Step 4: The LCM of 14 and 36 is 252.