## Precalculus: Mathematics for Calculus, 7th Edition

The solution is $(-3,\infty)$
$4x-7\lt8+9x$ 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 $(-3,\infty)$