Answer
$[\displaystyle \frac{3}{5},\infty)$
Work Step by Step
$6x-9\geq-4x-3 \qquad ...$ add $9+4x$ to both sides
$10x\geq 6 \qquad ...$ divide both sides with 10
$x\displaystyle \geq\frac{3}{5}$
Solution set: $[\displaystyle \frac{3}{5},\infty)$
