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QUESTION IMAGE

click on a tool to begin drawing. \\2x + y > 4\\

Question

click on a tool to begin drawing.

\\2x + y > 4\\

Explanation:

Rearrange the inequality to slope-intercept form

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Identify boundary line properties

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Determine the shaded region

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Answer:

To graph the inequality \(2x + y > 4\):

  1. Plot the boundary line \(y = -2x + 4\) as a dashed line passing through the points \((0, 4)\) and \((2, 0)\).
  2. Shade the region above and to the right of this boundary line (the region that does not contain the origin \((0,0)\)).