PLZZZ HELP FOR BRAINLIEST AND POINTS!!

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 5x + 5
y >- 1/2x + 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.

Question

02-03-2018
Mathematics

contestada

PLZZZ HELP FOR BRAINLIEST AND POINTS!!

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 5x + 5
y >- 1/2x + 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.

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MariettaArakelian MariettaArakelian · Answer 1 · 2018-03-02T04:29:22+01:00

a.) The shading is above both lines we know that for a fact because both inequalities provided show a greater than sign facing the y which means that the shaded part of that particular (and in this case both) line(s) is above the line. All the answers are positive. The Domain is all real numbers.

b.) the answer (-2, 5) is a possible solution because if you plug it into either inequality is works out.

[tex]5 > 5( - 2) + 5[/tex]
[tex]5 > - 5[/tex]
The first inequality checks out

[tex]5 > - \frac{1}{2} ( - 2) + 1[/tex]
[tex]5 > 2[/tex]
The second inequality checks out as well