14 Günde Sıfırdan Matematik Kampı | 9.Ders

Zihin haritası özeti: Simple Inequalities

Inequality Basics
- Four Symbols
  - Greater/Less Than
  - Equal Inclusion
- Number Line
  - Positioning Numbers
  - Left/Right Rules
- Interval Notation
  - Parenthesis/Brackets
  - Infinity Handling
Compound Inequalities
- And Conjunction
  - Both Conditions Met
- Or Conjunction
  - Union Symbol
- Half-Open Intervals
  - One Side Closed
Integer Counting
- Closed/Open Formulas
  - Subtract Minus One
  - Add One if Closed
- Real vs Integer
  - Infinite Density
Solving Inequalities
- Addition/Subtraction
  - Move Sides
  - Two-Sided Method
- Multiplication/Division
  - Positive: No Change
  - Negative: Flip
  - Practice Examples
- Complex Equations
  - Simplify First
  - Isolate Variable
Advanced Operations
- Side-by-Side Addition
  - Same Direction Only
  - Mixed Signs Rule
- Subtraction Method
  - Multiply by -1
  - Find x-y
- Multiplication Bounds
  - All Combinations
  - Max/Min Selection
- Even Powers
  - Opposite Signs → Zero Min
  - Square Both Bounds
- Odd Powers
  - Cube Both Bounds
  - Signs Preserved
Rational Inequalities
- Same Sign Flip
  - 1/x Reversal
- Opposite Signs
  - Always Opposite Order
Integer Selection
- Discrete Choices
  - Max/Min Picking
- Real Numbers
  - No Selection
  - Add Intervals
Special Cases
- Square < Itself
  - Interval (0,1)
- Exam Strategy
  - Real-World Problems