Graph x+2y>=-5

Problem

x+2*y≥−5

Solution

1. Identify the boundary line by replacing the inequality symbol with an equals sign.

x+2*y=−5

2. Solve for y to put the boundary line equation into slope-intercept form.

2*y=−x−5

y=−1/2*x−5/2

3. Determine the line style. Since the inequality is ≥ (greater than or equal to), the boundary line is solid, indicating that points on the line are included in the solution set.

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

0+2*(0)≥−5

0≥−5

5. Conclude that since the test point (0,0) results in a true statement, the region containing (0,0) (the area above and to the right of the line) should be shaded.

Final Answer

To graph x+2*y≥−5 draw a solid line for y=−1/2*x−5/2 and shade the region above it.

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