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.

Solved Example on Venn Diagram

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.

Related Terms for Venn Diagram

  • Sets