Question

Can someone help with this question fast!?!?!

Trying to get better at doing word problems like this is would help a lot.

In the summertime, the local school district tries to conserve electricity by adjusting the air conditioning temperatures. During the day the lowest the air conditioning can reach is 75° F, at night it is turned up to 92° F so the building does not reach temperatures over 92° F. Staff cannot work in the building when the temperature is above 92° F.

Write an inequality to represent the acceptable temperatures the building can reach. Describe the graph of the inequality completely.

Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent.

In July, the air conditioning broke and the temperature of the building rose to 103° F. Would the staff have been able to work in the building on this day? Why or why not?

Answer 1

Explanation:

The inequality to represent the acceptable temperatures the building can reach is:

75 ≤ T ≤ 92

where T represents the temperature of the building in degrees Fahrenheit.

The graph of this inequality is a closed circle at 75 on the left end of the number line, a closed circle at 92 on the right end, and a shaded region in between. The shading is in the direction of the middle of the number line, since any temperature between 75 and 92 is acceptable.

The solutions to the inequality represent the acceptable temperatures the building can reach, which are between 75 and 92 degrees Fahrenheit, inclusive. Any temperature within this range is acceptable, while any temperature outside of this range is not.

If the temperature of the building rose to 103°F, the staff would not have been able to work in the building because it is above the maximum acceptable temperature of 92°F.