Answer
$(-∞, -3)$
Work Step by Step
Plug the given conditions into an inequality. Put similar terms on either side. Then simplify by isolating $x$.
$\frac{2}{3}(6x-9)+4\gt5x+1$
$4x-2\gt5x+1$
$4x\gt5x+3$
$-3\gt x$
$x\lt-3$
$(-∞, -3)$