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MathsInequalities
Maths
Maths
  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
    • 7.1. Types of Inequalities
    • 7.2. Solutions of Inequalities
    • 7.3. Graphical Representation of Solutions
    • 7.4. Compound Inequalities
  • 8. Logarithms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
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  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
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  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
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  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
    • 7.1. Types of Inequalities
    • 7.2. Solutions of Inequalities
    • 7.3. Graphical Representation of Solutions
    • 7.4. Compound Inequalities
  • 8. Logarithms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
  • 12. Quadrilaterals
  • 13. Polygons
  • 14. Circles
  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
  • 17. 3D Mensuration
  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
  • 42. Measures of Dispersion
  • 43. Correlation
  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
Arithmetic MeanTypes of Inequalities

Inequalities

Inequalities explained with definitions, types, solution methods, and examples for building strong algebra foundations.

1.Types of Inequalities
Understand the types of inequalities with simple notes: symbols, strict vs non-strict inequalities, linear inequalities, real-life examples, mistakes, and practice.
2.Solutions of Inequalities
Learn how to solve inequalities with student-friendly methods: rules, sign-change rule, solution sets, interval notation, examples, common mistakes, and practice problems.
3.Graphical Representation of Solutions
Learn how to represent solutions of inequalities on a number line using open/closed circles, arrows, intervals, examples, mistakes, and practice.
4.Compound Inequalities
A compound inequality is formed when two simple inequalities are combined into one statement. Understand compound inequalities: AND and OR inequalities, solving steps, graphical representation, examples.
Arithmetic MeanTypes of Inequalities
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