A chemist is researching different sustainable fuel sources. She is currently working with benzene, which must be in liquid form for her to successfully conduct her research. The boiling point of benzene is 176° F, and the freezing point is 42° F. Part A: Write an inequality to represent the temperatures the benzene must stay between to ensure it remains liquid. (2 points)

Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points)

Part C: In February, the building's furnace broke and the temperature of the building fell to 20° F. Would the chemist have been able to conduct her research with benzene on this day? Why or why not? (4 points)

Part A:

Part B: The graph of the inequality is as follows:

There will be a shading covering all points with x-coordinates over 42 and below 176. The x-axis represents temperature, and the ends will be open circles, since the graph does not include the boiling temperatures themselves, since the material will not be liquid anymore at those temperatures.

Part C: She would not have, since benzene's freezing point is 42°F, and 20°F is below that. Unless the chemist could conduct her research with frozen benzene, otherwise she would not have been able to conduct her research on that day.

Step-by-step explanation:

Hope this helped!

c.

step-by-step explanation:

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this