Solve the Absolute Value Inequality $$3 | x - 9 | + 9 < 15$$

question 218

Multiple Choice

Solve the absolute value inequality. Write the solution in interval notation.
- $$3 | x - 9 | + 9 < 15$$

• A) \(( 1,17 )\)
• B) \(( 7,11 )\)
• C) \(( - \infty , 7 ) \cup ( 11 , \infty )\)
• D) \(( - \infty , 1 ) \cup ( 17 , \infty )\)

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Definitions:

Price Markup

The practice of setting the selling price of a product higher than its initial cost to achieve a profit margin.

Elastic Demand

A type of demand that responds significantly to changes in price, where a slight price change leads to a substantial change in the quantity demanded.

Marginal Cost

The cost increase associated with the creation of one additional unit of a good or service.

Profit Maximizing

The process by which a firm determines the price and output level that returns the greatest profit.