Given the Set Sketched on the Number Line, Identify the Type

question 118

Multiple Choice

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite) , write the set using set-builder notation, and write the set using interval notation.
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• A) open infinite interval; \(\{ x \mid x > 1 \} ; ( 1 , \infty )\)
• B) closed infinite interval; \(\{ x \mid x \leq 1 \} ; ( - \infty , 1 ]\)
• C) closed infinite interval; \(\{ x \mid x \geq 1 \} ; [ 1 , \infty )\)
• D) open infinite interval; \(\{ x \mid x < 1 \} ; ( - \infty , 1 )\)

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Definitions:

Break-even Point

The financial state in which total costs and total revenues are equal, meaning no net loss or gain is incurred by the business.

Variable Costs

Costs that change directly and proportionally with the level of production or business activity, such as materials and labor.

Contribution Margin

The amount by which sales revenue exceeds variable costs, indicating the contribution towards covering fixed costs and generating profit.

Fixed Costs

Expenses that do not fluctuate with the level of production or sales, such as rent, salaries, and insurance, remaining constant regardless of business activity.