Solve the Inequality $- x ^ { 2 } + 6 x - 4 \geq 0$

question 263

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $- x ^ { 2 } + 6 x - 4 \geq 0$

• A) \(( \infty , - 3 - \sqrt { 5 } ] \cup [ - 3 + \sqrt { 5 } , \infty )\)
• B) \(( \infty , 3 - \sqrt { 5 } ] \cup [ 3 + \sqrt { 5 } , \infty )\)
• C) \([ - 3 - \sqrt { 5 } , - 3 + \sqrt { 5 } ]\)
• D) \([ 3 - \sqrt { 5 } , 3 + \sqrt { 5 } ]\)

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Definitions:

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for higher cognitive functions like decision making, problem solving, and controlling behavior.

Organizing

The act or process of arranging, structuring, or coordinating elements in a systematic way to achieve a specific goal or order.

Formulating Plans

The process of creating strategies or outlining steps to achieve a specific goal, often involving problem-solving and decision-making skills.

Thalamus

A small structure within the brain that relays motor and sensory signals to the cerebral cortex.