Decide Whether the Equation Is an Identity, a Conditional Equation $$4 x + 1 = 2 ( 2 x - 4 )$$

question 467

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$4 x + 1 = 2 ( 2 x - 4 )$$

• A) Identity; \(\{\) all real numbers \(\}\)
• B) Contradiction; \(\varnothing\)
• C) Conditional; \(\{ 2 \}\)
• D) Conditional; \(\{ - 2 \}\)

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Definitions:

Equity Theory

Proposes that an intimate relationship is satisfying and stable if both partners see it as equitable and mutually beneficial.

Intimate Relationship

A close and personal relationship characterized by emotional, physical, and/or sexual intimacy between individuals.

Mutually Beneficial

A situation or relationship in which all parties involved gain benefits.

Propinquity

Geographic closeness.