Write an Absolute Value Inequality That Represents the Verbal Statement $8$

question 85

Multiple Choice

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x for which the distance from 0 to $8$ less than three times x is more than $2$ .

• A) \(| 3 x - 8 | > 2\)
• B) \(| 3 x - 2 | < 8\)
• C) \(| 3 x + 2 | \leq 8\)
• D) \(| 3 x + 8 | < 2\)
• E) \(| 3 x - 8 | \leq 2\)

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Definitions:

Monopolistic Competition

A market structure characterized by many firms selling products that are similar but not identical, allowing them to have some control over their prices.

Inefficient

A term describing processes or allocations of resources that do not maximize output or where inputs are not utilized in the best manner possible.

Marginal Cost

Marginal cost is the change in total cost that arises when the quantity produced is incremented by one unit.

Product-variety Externality

The impact on consumers and producers resulting from an increase or decrease in the variety of products available in the market.