Solve the Inequality $\left( x ^ { 2 } - 36 \right) \left( x ^ { 2 } - 4 \right) > 0$

question 139

Multiple Choice

Solve the inequality. Graph the solution set and write the solution set in interval notation.
- $\left( x ^ { 2 } - 36 \right) \left( x ^ { 2 } - 4 \right) > 0$

• A) \([ - 6 , - 2 ] \cup [ 2,6 ]\)
• B) \(( - \infty , - 6 ) \cup ( - 2,2 ) \cup ( 6 , \infty )\)
• C) \(( - 6 , - 2 ) \cup ( 2,6 )\)
• D) \(( - \infty , - 6 ] \cup [ - 2,2 ] \cup [ 6 , \infty )\)

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Definitions:

Afferent Arterioles

Small blood vessels that carry blood toward the nephrons in the kidney, regulating blood pressure and filtration rate by constricting or dilating.

Aldosterone

A hormone produced by the adrenal glands that helps regulate the balance of salts and water in the body by promoting the reabsorption of sodium and excretion of potassium in the kidneys.

Urine Volume

The total amount of urine excreted by the kidneys in a given time period, which can indicate hydration levels or kidney function.

Afferent Arteriole

A small artery that carries blood toward the capillaries of the glomerulus in the kidney, initiating the process of blood filtration.