## Calculus with Applications (10th Edition)

$3x^{2}+2x\gt1$ $3x^2+2x-1\gt0$ $(3x-1)(x+1)\gt0$ $x\gt\frac{1}{3}$ and $-1\gt x$
Step 1: Subtract 1 from both sides of the inequality Step 2: Factorize quadratic inequality (trinomial) Step 3: The inequality function is greater than $0$ for $x\gt\frac{1}{3}$ and $-1\gt x$