Question

Part I: Choose one type of ball and write an absolute value inequality describing the air pressure of balls outside the recommended range.

Part III: What is the appropriate range for air pressure for the type of ball you selected in Part II?
A. Inflated balls: ∣P−P_0∣>ΔP
B. Deflated balls: ∣P−P_0∣<ΔP
C. Overinflated balls: |P−P_0∣>ΔP
D. Underinflated balls: ∣P−P_0∣<ΔP

Answer 1

The appropriate range for air pressure of a ball depends on whether it is inflated, deflated, or overinflated. For each case, the difference between the air pressure and the recommended pressure must be within a specific deviation range.

Step-by-step explanation:

The appropriate range for air pressure of the selected ball type depends on whether the ball is inflated, deflated, or overinflated. For inflated balls, the absolute value inequality describing the air pressure outside the recommended range is |P−P₀| > ΔP. This means that the difference between the air pressure (P) and the recommended pressure (P₀) must be greater than the allowed deviation (ΔP).

The appropriate range for deflated balls is |P−P₀| < ΔP. This means that the difference between the air pressure (P) and the recommended pressure (P₀) must be less than the allowed deviation (ΔP).

Similarly, for overinflated balls, the appropriate range is |P−P₀| > ΔP, and for underinflated balls, it is |P−P₀| < ΔP.