Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set: 72

$(-∞, -6)$ ∪$(-0.5,1)$

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 $(-∞, -6)$ ∪$(-0.5,1)$.

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