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: x≥−3x \geq -3
  2. Vibration Tolerance: x<2.5x < 2.5
  3. Pressure Tolerance: x≤−35x \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 2026-09-18

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