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Solving Equations and Inequalities

📑 5 slides 👁 17 views 📅 4/9/2026
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Introduction to Equations

Equations are mathematical statements with equality between two expressions

Introduction to Equations
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Solving Linear Equations

  • Isolate the variable using inverse operations (addition/subtraction)
  • Multiply or divide to simplify coefficients
  • Always check solutions by substituting back into the original equation
Solving Linear Equations
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Understanding Inequalities

  • Inequalities show relationships where values are not equal
  • Symbols include <, >, ≤, ≥ representing less/greater than or equal to
  • Solutions often represent ranges of values on a number line
Understanding Inequalities
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Solving Inequalities

  • Solve similarly to equations but reverse inequality when multiplying/dividing by negatives
  • Graph solutions on number lines with open/closed circles
  • Compound inequalities involve two connected inequality statements
Solving Inequalities
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Applications & Summary

  • Used in physics, economics, and engineering problems
  • Real-world examples include budgeting and speed limits
  • Mastering equations and inequalities builds foundation for advanced math
Applications & Summary
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