Solve the Inequality $| 5 x - 2 | < 7$

question 32

Multiple Choice

Solve the inequality.Express the solution set in interval notation. $| 5 x - 2 | < 7$

• A) \(\quad \left( 1 , \frac { 9 } { 5 } \right)\)
• B) \(\left( - 1 , \frac { 5 } { 9 } \right)\)
• C) \(( 5,9 )\)
• D) \(\left( - 1 , \frac { 9 } { 5 } \right)\)
• E) \(\left( - \infty , - \frac { 9 } { 5 } \right) \cup ( - 1 , \infty )\)

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Definitions:

Market Failures

Situations where the allocation of goods and services by a free market is not efficient, often leading to a loss of economic value.

Property Rights

Legal rights to possess, use, and dispose of assets, including real property or intellectual property, ensuring control and economic benefits to the rights holder.

External Costs

Costs of a transaction or activity that affect parties who are not directly involved in it, such as pollution affecting the wider community.

Law of Demand

The principle that, all else being equal, an increase in the price of a good will decrease the quantity demanded, and a decrease in price will increase the quantity demanded.