Solve the Compound Inequality $- 2 < - 2 ( x - 5 ) \leq 18$

question 11

Multiple Choice

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 2 < - 2 ( x - 5 ) \leq 18$

• A) \(( - 6,4 ]\)
• B) \(( - \infty , - 4 ] \cup ( 6 , \infty )\)
• C) \([ - 6,4 )\)
• D) \([ - 4,6 )\)
• E) \(( - 4,6 ]\)

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Definitions:

Cross Elasticity of Demand

A measure of how the quantity demanded of one good changes in response to a price change in another good.

Substitutes

Goods or services that can replace each other in usage, offering alternative choices to consumers.

Complements

Goods or services that are used together, where the use of one increases the demand for the other.

Income Elasticity of Demand

A measure of how much the quantity demanded of a good responds to a change in consumers' income, holding all other factors constant.