#### Answer

$x\geq-4$

#### Work Step by Step

$-3(x-3)\geq5-4x\longrightarrow$ multiply using the distributive property
$-3x+9\geq5-4x\longrightarrow$ add 4x to each side
$-3x+9+4x\geq5-4x+4x\longrightarrow$ add
$x+9\geq5\longrightarrow$ subtract 9 from each side
$x+9-9\geq5-9\longrightarrow$ subtract
$x\geq-4$