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) \([ - 8 , - 5 ] \cup [ 5,8 ]\)

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Definitions:

Quantity Discounts

Price reductions given to buyers purchasing large quantities, intended to encourage bulk buying.

Competitive Market

A market structure characterized by many buyers and sellers, free entry and exit, and products that are similar, leading to prices being determined by supply and demand.

Marginal Cost

The cost incurred by producing one additional unit of a good or service.

Equilibrium Price

The pricing level where goods supplied and goods demanded by consumers are equal.