The document outlines lesson objectives focused on solving problems involving operations on sets using Venn diagrams. It presents real-life scenarios and problems related to students' preferences for subjects and gadgets, engaging students with practical applications of set theory. Examples include determining students liking only one subject or gadget and how many do not like any of the mentioned items.

1. Solving Problems
Involving Sets
Mathematics 7

2. Lesson Objectives:
 Solve problems involving operations on
sets with Venn diagrams.
Use real-life problems in solving problems
involving sets.

3. VENN DIAGRAM
 A Venn diagram is an illustration of the
relationships between and among sets,
groups of objects that share something in
common.

4. TYPES OF VENN DIAGRAM
Two-way diagram Three-way diagram

5. A teacher’s survey that asked some Grade 7
students about their book preference. The
result is as follows:

6. Problem #1
Determine the total number of students
from Grade 7-St. Pedro Calungsod if 30
students like Science, 23 students like Math
and 8 students like both subjects.

7. Problem #2
From a class of 40 students , 21 students like
Math and 26 students like English. There are
9 students who liked both subjects.
a. How many students like Math only ?
b. How many students like English only ?
c. How many students do not like Math or English ?

8. Problem #3
In Ms. Abellar’s class with 75 students, 43 like
Jollibee, 48 like McDonalds and 7 don’t like
any of the two fast food chain restaurants.
a. How many students like Jollibee only ?
b. How many students like McDonald only ?
c. How many students like both Jollibee and
McDonald?

9. Problem #3
Mrs. Cao surveys 50 of her students on their available
gadgets at home for their online class. She found that
28 have mobile phones, 21 have laptops and 18 have
computers. Seven students have mobiles phones and
computers, 9 have mobile phones and laptops and
computers, and only 2 students has all three gadgets.