Answer
$12\lt p$
Work Step by Step
$9\lt p-3$ : add 3 to both sides
$9+3\lt p-3+3$ : simplify
$12\lt p$
Verify that 12 is not a solution at the endpoint.
$9\overset?\lt 12-3$
$9\ /\!\!\!\!\!\lt 9\checkmark$
Verify that a number greater than 12 is a solution.
$9\overset?\lt 14-3$
$9\lt 11\checkmark$