Graph y<=5

Problem

y≤5

Solution

1. Identify the boundary line by replacing the inequality symbol with an equals sign, which gives the horizontal line y=5

2. Determine the line style by looking at the inequality symbol; since it is "less than or equal to" (≤, the boundary line y=5 is drawn as a solid line.

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

4. Substitute the coordinates of the test point into the inequality: 0≤5

5. Verify that the statement 0≤5 is true, meaning the region containing the origin should be shaded.

6. Shade the entire region below the solid horizontal line y=5

Final Answer

y≤5

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