#### Answer

T = { x | x is a real number, $x \leq 0$}

#### Work Step by Step

$-3*(4x+8) +1 \geq -23$
$-3*(4x+8) +1 -1 \geq -23-1$
$-3*(4x+8) \geq -24$
$-3*(4x+8)/-3 \geq -24/-3$
$4x + 8 \leq 8$
$4x + 8 - 8 \leq 8- 8$
$4x \leq 0$
$4x *1/4 \leq 0 * 1/4$
$x \leq 0$