Answer
$|P-7.50|\leq0.25$
Work Step by Step
$|u|\lt a~↔~-a\lt u\lt a$
$|u|\leq a~↔~-a\leq u\leq a$
$|u|\gt a~↔~u\lt-a~or~u\gt a$
$|u|\geq a~↔~u\leq-a~or~u\geq a$
$7.25\leq P\leq7.75$
$7.25-7.50\leq P-7.50\leq7.75-7.50$
$-0.25\leq P-7.50\leq0.25$
$|P-7.50|\leq0.25$