Inequalities, Bounds & Optimization

Many problems ask for a range of feasible values or an extreme feasible value rather than one exact equality.

What you'll learn

  • Translate at least, at most, greater than, and less than conditions into inequalities.
  • Represent feasible values on a number line with correct open or closed endpoints.
  • Solve one-variable linear inequalities while reversing the inequality when multiplying or dividing by a negative.
  • Apply integer restrictions after solving an inequality.
  • Find a requested minimum or maximum only after establishing feasibility.

Before you start

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