Solving Linear Inequalities

learning_notes

Last updated: 8/16/2025

Concepts Covered:

  • Basic Solving Techniques – Similar to solving equations, but when multiplying or dividing by a negative number, the inequality sign must be flipped.
  • Interpreting Solutions – Solutions to inequalities represent a range of values, not just a single number.
  • Rounding for Practical Solutions – Some answers require whole numbers (e.g., number of packages, people, or objects).

Skills Covered:

  • Solve inequalities using algebraic manipulation.
  • Interpret solutions in real-world contexts.
  • Round up when necessary in practical situations.

Example Problems:

  • Ty must walk at least 15 km a day and walks $4$ km per hour. What is the minimum number of hours he must walk?
  • A geologist needs at least 25 rock samples but has already collected $8$. How many more does he need?

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