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Graph x<=4

Problem

x≤4

Solution

  1. Identify the boundary line by changing the inequality to an equality, which results in the vertical line x=4

  2. Determine the line style; since the inequality is "less than or equal to" (, the boundary line x=4 is drawn as a solid line.

  3. Select a test point not on the line, such as (0,0) to determine which side to shade.

  4. Substitute the test point into the inequality: 0≤4 is a true statement.

  5. Shade the region containing the test point, which is the entire area to the left of the vertical line x=4

Final Answer

x≤4


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