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

question 207

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.
-

• A) closed infinite interval; \(\{ x \mid x \geq - 1 \} ; [ - 1 , \infty )\)
• B) closed infinite interval; \(\{ x \mid x \leq - 1 \} ; ( - \infty , - 1 ]\)
• C) open infinite interval; \(\{ x \mid x > - 1 \} ; ( - 1 , \infty )\)
• D) open infinite interval; \(\{ x \mid x < - 1 \} ; ( - \infty , - 1 )\)

---

Definitions:

Downward-Sloping Demand

A market condition where the quantity demanded of a good decreases as its price increases, adhering to the law of demand.

Barriers To Entry

Barriers to entry are obstacles that make it difficult for new competitors to enter an industry, protecting existing firms from competition and maintaining market power.

Monopolistic Competition

A market structure characterized by many firms selling products that are similar but not identical, allowing for competition based on factors other than price, such as quality and branding.

Price

The monetary value attached to acquiring a good or service.