Decide Whether the Equation Is an Identity, a Conditional Equation $$10 x + 91 = 2 ( 5 x + 41 )$$

question 340

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$10 x + 91 = 2 ( 5 x + 41 )$$

• A) Conditional; \(\{ 5 \}\)
• B) Identity; {all real numbers}
• C) Contradiction; \(\varnothing\)
• D) Conditional; \(\{ - 5 \}\)

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Definitions:

Sales Volume

The total number of units or products sold within a specific period.

Fixed Expense

Overheads that stay the same, no matter how much is produced or sold, encompassing charges such as property rent, staff paychecks, and insurance coverage costs.

Break-Even

Break-even refers to the point at which total costs and total revenues are exactly equal, resulting in neither profit nor loss.

Variable Expense

Costs that vary directly with the level of production or sales volume, such as raw materials and direct labor costs.