Question

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 3x + 10 y is less than negative 3 over 4 times x minus 1 Part A: Clearly 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 (8, 10) a solution to this system? Explain how you know

Answer 1

See attached graph, and answers.

Explanation:

The inequalities are given as;

i) y>3x+10

ii) y<-3/4x -1

Graphing the inequalities gives the following result

The solution area is that which is shaded and the lines are broken lines not complete

From the graph the solution is: { -2.9,1.2}

The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.