Essay

Technical Documentation of Graphing Conventions

You are drafting a Standard Operating Procedure (SOP) for new data analysts that explains how to visually represent specific constraint systems. For the system defined by {x - y > 3, y < -1/5x + 4}, write a brief technical brief that lists the following required graphing conventions:

  1. Identify the specific type of boundary line (solid or dashed) that must be used for both inequalities and state the rule for this choice.
  2. Describe the mathematical result of testing the origin (0, 0) for the first inequality (x - y > 3) and state whether the region containing the origin should be shaded or not.
  3. Describe the mathematical result of testing the origin (0, 0) for the second inequality (y < -1/5x + 4) and state whether the region containing the origin should be shaded or not.

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Updated 2026-04-20

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