Constraints Math Example 3

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Example 3

medium
A box must hold at least 10 items but no more than 25 items. Write this as a compound inequality and list two valid values.

Solution

  1. 1
    Compound inequality: \(10 \leq n \leq 25\).
  2. 2
    Valid values: \(n = 15\) and \(n = 22\).
  3. 3
    Invalid: \(n = 5\) (too few) or \(n = 30\) (too many).

Answer

\(10 \leq n \leq 25\); valid examples: 15, 22
A compound inequality captures both a lower bound and an upper bound on the variable.

About Constraints

Conditions or restrictions that limit which values are allowed in a problem. Constraints narrow the set of possible solutions, such as 'x must be positive' or 'the total cannot exceed 100.'

Learn more about Constraints →

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Example 4 hard

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