SOLUTION: How can I determine the correct half-plane boundry line graphed for this linear inequality. y>3?

Question 79451This question is from textbook Beggining Algebra
: How can I determine the correct half-plane boundry line graphed for this linear inequality. y>3? This question is from textbook Beggining Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How can I determine the correct half-plane boundry line graphed for this linear inequality. y>3?
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Every boundary line is an EQUALITY.
Although you want the graph of y>3m the boundary line is y=3.
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Graph the line y=3 as a dashed line parallel to the x axis.
That is the boundary line.
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Now determine the half-plane that is the graph of the INEQUALITY:
Pick a test point, like (0,0)
Substitute those value into the INequality to see if the side with (0,0)
in it is the solution half-place.
You get:
0>3
That's wrong so the solution is not on that side.
The other half-plane is the solution set for y>3.
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Cheers,
Stan H.
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