#### 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 depicted in question 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 $(-∞, -6)$ ∪$(-0.5,1)$.