Answer
The solution is $(-3,\infty)$
Work Step by Step
$4x-7\lt8+9x$
Take $9x$ to the left side and $-7$ to the right side:
$4x-9x\lt8+7$
$-5x\lt15$
Divide both sides by $-5$ and reverse the direction of the inequality:
$\dfrac{-5x}{-5}\gt\dfrac{15}{-5}$
$x\gt-3$
Express using interval notation:
The solution is $(-3,\infty)$
