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Example1

Title: Graphs

Grade Lesson s6-l7

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2 Example3

In a group of 30 students:
a) 15 students play football.
b) 10 students play basketball.
c) 5 students play both football and basketball.
We need to draw a Venn diagram and find out how many students play only football, only basketball, and neither sport.

Step: 1

Draw two overlapping circles:
Circle - 1 Football
Circle - 2 Basketball
Overlapping area = 5.

Explanation:

Here, we draw the two overlapping circles. One circle is for Football, and the other circle is for Basketball. And overlapping area is 5.

Step: 2

The number of students who play only football in the football circle but outside the overlapping area: 15 - 5 = 10.

The number of students who play only basketball in the basketball circle but outside the overlapping area: 10 - 5 = 5.

Calculate the number of students who play neither sport: 30 - (10 + 5 + 5) = 10

→ 10 students play only football (outside the overlap area, within the Football circle).
→ 5 students play football and basketball (in the overlap area).
→ 5 students play only basketball (outside the overlap area, within the Basketball circle).
→ 10 students play neither sport (outside both circles).

Explanation:

Here, 10 students play football, 5 students play football and basketball, 5 students play basketball, and 10 students play neither sport.

Step: 3

$1$

Explanation:

Here, we draw the all values in the Venn diagram.