Question 15
2 pts
From the Deflategate Wikipedia page: "The offibtal rules of the National Football League require footballs are inflated to a gauge pressure between 12.5 and 13.5 pounds per square inch (psi)."

Identify the absolute value inequality that describes the legal pressure of a football during the game where $p$ represents the pressure measured by the gauge.

Step 1 ：The question is asking for an absolute value inequality that describes the legal pressure of a football during the game. The legal pressure is between 12.5 and 13.5 psi.

Step 2 ：This means that the pressure can deviate from the average of 12.5 and 13.5 by at most the difference between 13.5 and the average.

Step 3 ：The average of 12.5 and 13.5 is 13. The difference between 13.5 and 13 is 0.5.

Step 4 ：So the absolute value inequality that describes this is |p - 13| ≤ 0.5.

Step 5 ：Final Answer: The absolute value inequality that describes the legal pressure of a football during the game is \(\boxed{|p - 13| \leq 0.5}\).