#### Answer

$-1.6\gt n$

#### Work Step by Step

$-2.5\gt n-0.9$ : add 0.9 to both sides
$-2.5+0.9\gt n-0.9+0.9$ : simplify
$-1.6\gt n$
Verify that 1.6 is not a solution.
$-2.5\overset?\gt -1.6-0.9$
$-2.5\ /\!\!\!\!\!\gt-2.5\checkmark$
Verify that a number less than -1.6 is a solution.
$-2.5\overset?\gt -3-0.9$
$-2.5\gt -3.9\checkmark$