Solve the Inequality $$- 3 x ^ { 2 } + 8 x \geq 0$$

question 149

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$- 3 x ^ { 2 } + 8 x \geq 0$$

• A) \(\left[ 0 , \frac { 8 } { 3 } \right]\)
• B) \(\left[ - \frac { 8 } { 3 } , 0 \right]\)
• C) \(\left( - \infty , - \frac { 8 } { 3 } \right] \cup [ 0 , \infty )\)
• D) \(( - \infty , 0 ] \cup \left[ \frac { 8 } { 3 } , \infty \right)\)

---

Definitions:

High Aspiration

The strong desire or ambition to achieve something, often requiring significant effort or aiming at a high level of accomplishment.

Big Three Traits

A model in personality psychology that describes personality through three broad dimensions: extraversion, neuroticism, and agreeableness.

Auke Tellegen

A psychologist known for his work in personality psychology, particularly for the development of the Multidimensional Personality Questionnaire.

In-group Loyalty

The tendency for individuals to give priority to the welfare of their own group over others, often leading to strong support and defense of the group's members and values.