Solve the Inequality and Graph the Solution on the Real $\frac { 4 x - 1 } { x } > 0$

question 51

Multiple Choice

Solve the inequality and graph the solution on the real number line. $\frac { 4 x - 1 } { x } > 0$

• A) \(( - \infty , 0 ) \cup \left( \frac { 1 } { 4 } , \infty \right)\)
• B) \(( - \infty , 0 ) \cup \left( - \frac { 1 } { 4 } , \infty \right)\)
• C) \(( - \infty , 0 ) \cap \left( - \frac { 1 } { 4 } , \frac { 1 } { 4 } \right)\)
• D) \(( - \infty , 0 ) \cap \left( \frac { 1 } { 4 } , \infty \right)\)
• E) \(( - \infty , 0 ) \cap \left( - \frac { 1 } { 4 } , \infty \right)\)

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Definitions:

Neurons

Nerve cells that are the basic building blocks of the nervous system, responsible for receiving, processing, and transmitting information through electrical and chemical signals.

Billion

A numerical value represented as 1,000,000,000 (in the short scale) or 1,000,000,000,000 (in the long scale, used traditionally in countries like France and Germany).

Human Being

A member of the species Homo sapiens, characterized by a capacity for language, reasoning, and the creation of complex cultures.

Myelin Sheath

The fatty layer enveloping axons of some neurons that increases the speed at which impulses propagate along the myelinated fiber.