Solve the Inequality $$\left( x ^ { 2 } - 64 \right) \left( x ^ { 2 } - 25 \right) > 0$$

question 107

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$\left( x ^ { 2 } - 64 \right) \left( x ^ { 2 } - 25 \right) > 0$$

• A) \(( - \infty , - 8 ] \cup [ - 5,5 ] \cup [ 8 , \infty )\)
• B) \(( - \infty , - 8 ) \cup ( - 5,5 ) \cup ( 8 , \infty )\)
• C) \(( - 8 , - 5 ) \cup ( 5,8 )\)
• D) \([ - 8 , - 5 ] \cup [ 5,8 ]\)

---

Definitions:

Cartel Agreement

A formal, explicit agreement among competing firms to control prices, production, and market shares.

Cartelized Market

A market condition where a few suppliers act together to control prices or limit market competition.

Oligopoly

A market structure dominated by a small number of large firms, leading to limited competition and potentially higher prices for consumers.

Effective Collusion

A situation where firms in a market agree to act together instead of competing, often to fix prices or market shares, to maximize their profits.