Answer
$p\gt19$ or $p\lt13$.
Work Step by Step
$|16-p|\gt3$ implies $16-p\gt3\\-p\gt-13\\p\lt13$ or $16-p\lt-3\\-p\lt-19\\p\gt19$.
Thus $p\gt19$ or $p\lt13$.
Then, by using a graphing utility, the solution set is attached.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7cd7a36d-bd1f-4c7b-af57-2962d1b9a20e/steps_image/small_1572786300.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002031Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3172cdbc4c4e7eebefb9b28f8ff2984eb6e22d2acf5a7be9560be1a0560e50a3)
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