Being able to solve inequalities is important to be able to graph functions because you’ll often want to know when the derivative f’(x) is greater than 0 (meaning the original function f(x) is increasing) or less than 0 (meaning the original function f(x) is decreasing). Arun articulates this important concept, and Katie walks you through examples of solving inequalities.

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Lesson 1: The Basics

Lesson 2: Solving equations and inequalities

  1. Why solve equations?
  2. Solving equations: Quadratics
  3. Exercises: Solve quadratic equations
  4. Solving equations: Absolute values
  5. Exercises: Solve equations involving absolute value
  6. Solving equations: Polynomials
  7. Exercises: Solve polynomial equations
  8. Solving equations: Rational expressions
  9. Exercises: Solve equations involving rational expressions
  10. Solving equations: Exponents
  11. Exercises: Solve exponential equations
  12. Solving equations: Logs
  13. Exercises: Solve logarithmic equations
  14. Solving equations: Trigonometric functions
  15. Trig identities
  16. Exercises: Solve trigonometric equations
  17. Why solve inequalities?
  18. Solving inequalities 📝
  19. Exercises: Solve inequalities

Lesson 3: Graphing

Lesson 4: Limits and series

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