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
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