Answer
$4.7\gt s$
Work Step by Step
$4.3 \gt -0.4+s$ : add 0.4 to both sides
$4.3+0.4\gt -0.4+s+0.4$ : simplify
$4.7\gt s$
Verify that 4.7 is not a solution.
$4.3\overset?\gt -0.4+4.7$
$4.3\ /\!\!\!\!\!\gt 4.3\checkmark$
Verify that a number less than 4.7 is a solution.
$4.3\overset?\gt -0.4+4$
$4.3\gt 3.6\checkmark$