Use a Graphing Calculator to Solve the Rational Inequality $x + \frac { 3 } { x } > 4$

question 70

Multiple Choice

Use a graphing calculator to solve the rational inequality $x + \frac { 3 } { x } > 4$ . Round all numerical values in your answer to three decimal places, where applicable.

• A) \(( - \infty , \infty )\)
• B) \(( 1 , \infty )\)
• C) \(( 0,1 ) \cup ( 3 , \infty )\)
• D) \(( - \infty , - 1 ) \cup ( 3 , \infty )\)
• E) \(( - \infty , 1 ) \cup ( 3 , \infty )\)

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Definitions:

Mesentery

Double layer of peritoneum extending from the abdominal wall to the abdominal viscera, conveying to it its vessels and nerves.

Lactase

An enzyme produced in the small intestine that breaks down lactose, a sugar found in milk, into glucose and galactose.

Small Intestine

The segment of the digestive system located between the stomach and the large intestine, responsible for the majority of nutrient digestion and absorption.

Lactase

An enzyme that helps in the digestion of lactose, a sugar found in milk and dairy products.