Learn Logics Easily – Class 9 Maths Chapter 8 Complete Guide
This post covers Class 9 Math Chapter 8 Logics with complete and easy-to-understand notes. You will learn important concepts like statements, truth values, logical operations, and real-life examples. These notes are specially designed for students to help them understand logics in a simple way and prepare for exams effectively.
Logic is an important chapter in Class 9 Mathematics that helps students develop reasoning and thinking skills. It is used to analyze statements, determine truth values, and solve problems systematically.
In this article, you will learn the basic concepts of logic, statements, truth values, logical operations, solved examples, and practice questions, along with a PDF download link.
📌 What is Logic?
Logic is the study of reasoning and making correct conclusions based on given information.
👉 It helps in:
Problem solving
Decision making
Mathematical reasoning
📌 Statements
A statement is a sentence that is either true or false, but not both.
✅ Examples:
“2 + 2 = 4” (True)
“5 is an even number” (False)
📌 Truth Values
Every statement has a truth value:
True (T)
False (F)
📌 Logical Operations
🔹 1. AND ( ∧ )
The result is true only if both statements are true.
P Q P ∧ Q
T T T
T F F
F T F
F F F
🔹 2. OR ( ∨ )
The result is true if at least one statement is true.
P Q P ∨ Q
T T T
T F T
F T T
F F F
🔹 3. NOT ( ¬ )
It reverses the truth value.
P ¬P
T F
F T
📊 Solved Examples
✅ Example 1:
P: “2 + 2 = 4” (T)
Q: “5 is even” (F)
👉 Find P ∧ Q
👉 Solution:
T ∧ F = F
✅ Example 2:
Find P ∨ Q
👉 Solution:
T ∨ F = T
✅ Example 3:
Find ¬P
👉 Solution:
If P = T → ¬P = F
📝 Practice Questions
Define a statement
What are truth values?
Find P ∧ Q when P = T and Q = F
Find P ∨ Q when P = F and Q = F
What is NOT operation?
You can download the complete notes from the link below:
https://drive.google.com/file/d/1j4pRjvZ4W8UyEiQyl1rxQbsKAhoM2s6U/view?usp=drivesdk
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