Answer
$[-∞, -6]$ ∪$(-0.5,1)$
Work Step by Step
Given: The inequality $2x^{3}+11x^{2}<7x+6$
Rewrite the Polynomial Inequality as follows:
$2x^{3}+11x^{2}-7x-6<0$
The graph of $f(x)$ shows that it is less than 0 from -6 and$[-∞, -6]$ or $(-0.5,1)$.
Conclusion: Thus, the interval notation of the inequality is $[-∞, -6]$ ∪$(-0.5,1)$.
