Question

A pilot is flying a CRJ-900 from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off or land if the temperature on the field is not within its operating limitations. The aircraft cannot operate if the temperature is at or below −40° F, or at or above 118° F.

Part A: Write an inequality to represent the temperatures the pilot can take off and land in. (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 June 1990, the temperature in Phoenix, Arizona rose to 122° F. Could the pilot have taken off on this day? Why or why not? (4 points)

Answer 1

part A: it says that the plane cannot operate if the temperature is "at or below -40" or "at or above above 118"

therefore, the temperature (let's assign a variable like x) must be above -40 and below 118. can you try expressing this as an inequality?

part B: since your values are between -40 and 118, non-inclusive, what numbers on the number line would you include in the graph, and would you use open or closed circles? (if you don't know, please review what open/closed circles mean on a number line)

part C: simply determine, using either the graph or the inequality, whether 122 is a possible solution to the inequality