Final answer:
An absolute value inequality describing the weights of basketballs that should be rejected is |w - 21| > 1.
Step-by-step explanation:
To write an absolute value inequality describing the weights of basketballs that should be rejected, we can use the equation: |w - 21| > 1, where w represents the weight of the basketball.
In this equation, the absolute value represents the allowed deviation from the target weight of 21 ounces.
The inequality states that the difference between the weight of the basketball and 21 must be greater than 1.
This means that any basketball that weighs less than 20 ounces or more than 22 ounces should be rejected.