Question

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)

Answer 1

Answer: Part A:

We must be above the freezing point and below the boiling point

Using the variable t for temperature

42<t<176

Part B:

There is an open circle at 42 since it is not equal and an open circle at 176 since is it not equal.  There is a line between the open circles to show that the temperature can be between 42 and 176, not including 42 and 176.

Part C

20F is below 42 F so it is outside of the range of temperatures allowed.  The researcher cannot research on this day.

20 <42

Step-by-step explanation: brain list, please?

Answer 2

The inequality for part A is 42 < t < 176, and the researcher is unable to conduct the study today.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

The boiling point of benzene is 176° F, and the freezing point is 42° F.

Part A:

Let t be the temperature:

42 < t < 176

The temperature must lie between 42 and 176 to benzene must stay between to ensure it remains liquid.

Part B:

The graph of the inequality from the Part A:

Both the open circle at 42 and the open circle at 176 are present since they are not equal. A line separates the open circles to demonstrate that the temperature can range from 42 to 176 without exceeding 42 or exceeding 176.

Part C:

In February, the building's furnace broke and the temperature of the building fell to 20° F:

Since 20F is below 42F, it falls outside the permitted temperature range. The researcher is unable to conduct the study today.

20 < 42

Thus, the inequality for part A is 42 < t < 176, and the researcher is unable to conduct the study today.

Learn more about the inequality here:

brainly.com/question/19491153

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