Decide Whether the Equation Is an Identity, a Conditional Equation $$- 8 x - 42 + 2 ( 4 x + 23 ) = 0$$

question 470

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$- 8 x - 42 + 2 ( 4 x + 23 ) = 0$$

• A) Contradiction; \(\varnothing\)
• B) Conditional; \(\{ 4 \}\)
• C) Identity; \(\{\) all real numbers \(\}\)
• D) Conditional; \(\{ 1 \}\)

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Definitions:

Deadweight Loss

A loss in total economic welfare that occurs when the free market equilibrium for a good or a service is not achieved, typically due to taxes, subsidies, or market controls.

Elastic Supply

The condition where the quantity supplied of a good or service changes significantly in response to a change in price.

Elastic Demand

A situation where the demand for a product is sensitive to price changes.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved, resulting in a mismatch between supply and demand.