Decide What Values of the Variable Cannot Possibly Be Solutions $$( 2 x + 3 ) ^ { 1 / 2 } + ( 4 - x ) ^ { 1 / 2 } = 4$$

question 489

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$( 2 x + 3 ) ^ { 1 / 2 } + ( 4 - x ) ^ { 1 / 2 } = 4$$

• A) \(\{ - 3 \}\)
• B) \(\varnothing\)
• C) \(\{ 3 \}\)
• D) \(\left\{ 3 , \frac { 11 } { 9 } \right\}\)

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Definitions:

External Locus

A belief that one's life events are largely influenced by external forces or the environment, as opposed to internal factors (contrast with internal locus of control).

Conscientiousness

A personality trait characterized by organization, responsibility, and thoroughness.

Locus of Control

Refers to an individual's belief about the extent to which their actions can influence the events that affect them.

General Expectation

The overall anticipation or belief about what may happen in the future, based on past experiences or societal norms.