Inequality Intuition Math Example 4

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Example 4

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A student must score at least 70 to pass. They have scores 65, 72, 80. Which scores pass? Write as inequalities.

Solution

  1. 1
    Condition: score \(\geq 70\).
  2. 2
    65: \(65 \geq 70\)? No. Fails.
  3. 3
    72: \(72 \geq 70\)? Yes. Passes.
  4. 4
    80: \(80 \geq 70\)? Yes. Passes.

Answer

72 and 80 pass; 65 fails
The inequality \(s \geq 70\) is satisfied by 72 and 80 but not by 65.

About Inequality Intuition

Understanding that << and >> describe ordering relationships—one quantity is strictly smaller or larger than the other.

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