Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y 5x + 5
y is greater than negative 1 over 2 times x plus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−2, 5) included in the solution area for the system? Justify your answer mathematically. (4 points)

Question

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > 5x + 5
y is greater than negative 1 over 2 times x plus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−2, 5) included in the solution area for the system? Justify your answer mathematically. (4 points)

anonymous · Answer

http://www.wolframalpha.com/input/?i=y+%3E+5x+%2B+5 Part A: Shading - Left side because y is greater than. Line is dotted because it's only greater than and not equal to. Also, it's a positive line. Part B: (-2, 5) is in the solution area. Plug it into the equation. y > 5x + 5 5 > 5(-2) + 5 5 > -10 + 5 5 > -5