Answer
$p \gt3$
Work Step by Step
$p-1.5\gt 1.5$ : add 1.5 to both sides
$p-1.5+1.5\gt 1.5+1.5$ : simplify
$p\gt 3$
Verify that 3 is not a solution.
$3-1.5\overset?\gt1.5$
$1.5\ /\!\!\!\!\!\gt1.5\checkmark$
Verify that a number greater than 3 is a solution.
$6-1.5\overset?\gt 1.5$
$4.5\gt 1.5\checkmark$