SOLUTION: Part A: The inequality whose graph is a shaded half-plane above a horizontal dotted line that intersects the y-axis at -3. Part B: The inequality whose graph is a shaded half-plan

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Part A: The inequality whose graph is a shaded half-plane above a horizontal dotted line that intersects the y-axis at -3. Part B: The inequality whose graph is a shaded half-plan      Log On


   

Question 578033: Part A: The inequality whose graph is a shaded half-plane above a horizontal dotted line that intersects the y-axis at -3.
Part B: The inequality whose graph is a shaded half-plane below a solid line that represents the equation y = x.
Part C: The inequality that represents the half-plane whose points have coordinates that are not the solutions of the inequality 2x + 3y 6. Explain how you found your answer.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Part A: write the equation of the boundary line:



Replace the equals sign with the appropriate inequality sign. First pick a point that is inside of the shaded area. In this case, the origin (0,0) is an acceptable test point. Substitute the coordinates of the test point into your equation:



Now choose which of the inequality signs makes the statement true.

John

My calculator said it, I believe it, that settles it
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