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.

Chapter 02: Sets, Functions and Groups

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

Short Questions

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

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