Solve the Quadratic Inequality $$- 3 x ^ { 2 } + 3 x - 5 \leq 0$$

question 156

Multiple Choice

Solve the quadratic inequality. Write the solution set in interval notation.
- $$- 3 x ^ { 2 } + 3 x - 5 \leq 0$$

• A) \(\left[ \frac { 1 } { 3 } , 5 \right]\)
• B) \(\left[ - 3 , - \frac { 1 } { 5 } \right]\)
• C) \(\varnothing\)
• D) \(( - \infty , \infty )\)

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Definitions:

Ego

In psychoanalytic theory, the part of the psyche that balances the desires of the id and the morals of the superego, operating on the reality principle.

Pleasure Principle

A concept in psychoanalytic theory that drives individuals to seek immediate gratification of needs and desires, avoiding pain or discomfort.

Immediate Gratification

The desire to experience pleasure or fulfillment without delay or deferment, often prioritizing short-term rewards over long-term outcomes.

Ego Ideal

An essential component of the personality in Freudian psychoanalysis, representing an individual's ideal self and the standards by which they judge their own actions.