Solve the Inequality $$- x ^ { 2 } - 10 x - 24 \leq 0$$

question 65

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$- x ^ { 2 } - 10 x - 24 \leq 0$$

• A) \(( - \infty , 4 ] \cup [ 6 , \infty )\)
• B) \(( - \infty , \infty )\)
• C) \(( - \infty , - 4 ] \cup [ 6 , \infty )\)
• D) \(( - \infty , - 6 ] \cup [ - 4 , \infty )\)

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Definitions:

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord.

Brain

The complex organ located in the skull that is responsible for cognitive function, processing information, and controlling most of the activities of the body.

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, which extends from the brainstem down the back, transmitting neural signals between the brain and the body.

Resting Potential

The difference in electric charge across the membrane of a neuron at rest, critical for the transmission of neural signals.