Solve the Inequality $( 3 x - 1 ) ( x + 6 ) \leq 0$

question 225

Multiple Choice

Solve the inequality. Graph the solution set and write the solution set in interval notation.
- $( 3 x - 1 ) ( x + 6 ) \leq 0$

• A) \(\left[ - \infty , \frac { 1 } { 3 } \right]\)
• B) \([ - 6 , \infty )\)
• C) \(\left[ - 6 , \frac { 1 } { 3 } \right]\)
• D) \(( - \infty , - 6 ] \cup \left[ \frac { 1 } { 3 } , \infty \right]\)

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Definitions:

Nonexcludable

A characteristic of a good or service that prevents the owner from effectively denying access to it to non-paying individuals or entities.

Nonrivalry

A characteristic of a good or service where its consumption by one individual does not reduce its availability to others.

Public Good

A good or service offered free of charge to every member of a society by either the government or a private entity or organization, aiming not for profit.

Nonexcludability

Refers to a situation in a market where it's impossible to exclude individuals from using a good or service, often associated with public goods.