Essay

Standardizing Technical Safety Thresholds

In your role as a technical documentation specialist for a manufacturing company, you are updating the safety manual to include standardized interval notation for machine tolerances. Describe the fundamental rules for determining when to use a square bracket [ or ] versus a parenthesis ( or ) at the boundary values. Use the following three specific safety thresholds from the manual to illustrate your explanation:

  1. Temperature Tolerance: x3x \geq -3
  2. Vibration Tolerance: x<2.5x < 2.5
  3. Pressure Tolerance: x35x \leq -\frac{3}{5}

In your response, explain the relationship between the inequality symbols and the notation used, and state the mandatory rule for which symbol must always be used with infinity (\infty) or negative infinity (-\infty).

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Updated 2026-04-20

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