Solve the Inequality $$\frac { 7 } { 1 - x } \leq \frac { 2 } { 3 - x }$$

question 175

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$\frac { 7 } { 1 - x } \leq \frac { 2 } { 3 - x }$$

• A) \(\left( - \infty , \frac { 19 } { 5 } \right]\)
• B) \(( 1,3 )\)
• C) \(( - \infty , 1 ) \cup ( 3 , \infty )\)
• D) \(( 1,3 ) \cup \left[ \frac { 19 } { 5 } , \infty \right]\)

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Definitions:

Equilibrium Quantity

Equilibrium quantity is the quantity of goods or services supplied and demanded at the equilibrium price, where the quantity demanded equals the quantity supplied, leading to market stability.

Demand Decreases

A situation where the desire or need for a product or service declines, often leading to lower prices and adjustments in supply.

Supply Increases

Occurs when the quantity of a good or service that a market can offer rises.

Law of Demand

The law of demand states that, all else being equal, as the price of a good or service increases, consumer demand for the good or service will decrease, and vice versa.