Do you agree with Mark’s reasoning? Is he correct that 2 is a rational number? Explain your answer.
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We need to find an inequality that represents the possible landing or take of conditions of an aircraft, the required graph and one case where the inequality will be tested.
The required inequality is .
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The pilot could not have taken off on June 1990, the temperature in Phoenix, Arizona.
Let the temperature be denoted by
The temperature cannot be at or below , so
The temperature cannot be at or above , so
The inequality will be .
In the graph it can be seen that all points between -40 and 118 falls in the shaded region but it will exclude the points -40 and 118.
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The temperature in June 1990 in Phoenix, Arizona was which is more than
.
Hence, the pilot could not have taken off on this day.
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