Chapter 02: Sets, Functions and Groups

Notes (Solutions) of Chapter 02: Sets, Functions and Groups, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents & summary

Introduction
- Exercise 2.1
Operations on Sets
Venn Diagrams
- Exercise 2.2
Operations on Three Sets
Properties of Union and Intersection
- Exercise 2.3
Inductive and Deductive Logic
- Aristotelian and non-Aristotelian logics
- Symbolic Logic
Implication or Conditional
- Biconditional: $p \leftrightarrow q$
- Conditionals related with a given Conditional.
- Tautologies
- Quantifiers
- Exercise 2.4
Truth Seats, A Link between Set Theory and Logic
- Exercise 2.5
Relations
Functions
- Linear and Quadratic Functions
Inverse of a Function
- Exercise 2.6
Binary Operations
- Properties of Binary Operations
- Exercise 2.7
Groups
Solution of Linear Equations
Reversal Law of Inverses
- Exercise 2.8

Erratum

Exercise 2.2, Question 4, Part iii, the answer is wrong. The correct answer is: A U B = {1,2,3,4,5,6,8,10} — Ubaid ur Rehman (GC Attock) 2016/01/19 06:10