Solve the Absolute Value Inequality $$4 - | x - 12 | < 4$$

question 108

Multiple Choice

Solve the absolute value inequality. Write the solution in interval notation. $$4 - | x - 12 | < 4$$

• A) \(( - \infty , \infty )\)
• B) \(\{ 12 \}\)
• C){ }
• D) \(( - \infty , 12 ) \cup ( 12 , \infty )\)

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Definitions:

Random Variable

This refers to a variable where its values are linked to the outputs of unpredictable phenomena.

Exponentially Distributed

Refers to a probability distribution used to model the time between events in a Poisson process, characterized by a constant mean rate.

Random Variable

A variable whose outcomes depend on the results of a random phenomenon, with each outcome having a probability associated with it.

Density Function

A mathematical function that describes the probability distribution of a continuous random variable, giving the likelihood of any value within a range.