Find the Solution Set for the Nonlinear Inequality $\frac { 2 x + 1 } { x - 4 } \leq 5$

question 107

Multiple Choice

Find the solution set for the nonlinear inequality $\frac { 2 x + 1 } { x - 4 } \leq 5$ .

• A) \(( - \infty , - 4 ) \cup ( 7 , \infty )\)
• B) \(( - \infty , - 7 ) \cup [ 4 , \infty )\)
• C) \(( - \infty , 4 ) \cup [ 7 , \infty )\)
• D) \(( - \infty , 4 ]\)
• E) \(( - \infty , 7 )\)

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Definitions:

Suprachiasmatic Nucleus

Main biological clock; located in the hypothalamus. Important in setting circadian rhythms.

Pineal Gland

Endocrine gland located in the brain.

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood. It controls the basic emotions and drives.