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

question 287

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

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Definitions:

Perfectly Competitive Firms

Companies that operate in a perfectly competitive market, producing homogeneous goods and having no control over market price.

Oligopolistic Market

A market structure characterized by a small number of firms that have significant control over market prices and competition.

Homogeneous Products

Products that are essentially identical, offered by different firms within a market, with no product differentiation.

Differentiated Products

Goods that are distinguished from similar products based on quality, features, and branding to create perceived differences appealing to diverse consumer segments.