#### Answer

$t\geq-3$

#### Work Step by Step

$t-4\geq -7$ : add 4 to both sides
$t-4+4\geq -7+4$ : simplify
$t\geq -3$
Verify that -3 is a solution at the endpoint.
$-3-4\overset?= -7$
$-7=-7\checkmark$
Verify that a number greater than -3 is a solution.
$0-4\overset?\geq-7$
$-4\geq-7\checkmark$