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)

a)

42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. Open circles represent less than.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

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