Solve the Inequality $$9 x ^ { 3 } + 36 x ^ { 2 } - 16 x - 64 > 0$$

question 188

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$9 x ^ { 3 } + 36 x ^ { 2 } - 16 x - 64 > 0$$

• A) \(\left( - 4 , - \frac { 4 } { 3 } \right) \cup \left( \frac { 4 } { 3 } , \infty \right)\)
• B) \(\left[ - 4 , - \frac { 4 } { 3 } \right] \cup \left[ \frac { 4 } { 3 } , \infty \right)\)
• C) \(( - \infty , - 4 ] \cup \left[ - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right]\)
• D) \(( - \infty , - 4 ) \cup \left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)\)

---

Definitions:

Surgery

A branch of medicine that involves the treatment of diseases, injuries, or deformations by manual or operative procedures.

Behavior Modification

A form of therapy that applies the principles of reinforcement to bring about desired behavioral changes.

Socially Undesirable

Behaviors or traits that are frowned upon by society or considered inappropriate or unacceptable.

Maladaptive Traits

Personality or behavioral traits that are counterproductive or inhibit an individual's ability to adjust healthily to particular situations.