# 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
- Bicopnditional : $p\leftrightarrow q$
- 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*

### Solutions

- Exercise 2.1 | View Online | Download PDF

- Exercise 2.2 | View Online | Download PDF

- Exercise 2.3 | View Online | Download PDF

- Exercise 2.4 | View Online | Download PDF

- Exercise 2.5 | View Online | Download PDF

- Exercise 2.6 | View Online | Download PDF

- Exercise 2.7 | View Online | Download PDF

- Exercise 2.8 | View Online | Download PDF

### Short Questions

The following short questions of this chapter was send by Mr. Akhtar Abbas.

- Chapter 02 | View Online | Download PDF