Solve the Inequality $$\frac { ( x - 1 ) ( 3 - x ) } { ( x - 2 ) ^ { 2 } } \leq 0$$

question 261

Multiple Choice

Solve the inequality.
- $$\frac { ( x - 1 ) ( 3 - x ) } { ( x - 2 ) ^ { 2 } } \leq 0$$

• A) \(( - \infty , - 3 ]\) or \(( - 2 , - 1 )\) or \([ 1 , \infty )\)
• B) \(( - \infty , - 3 )\) or \(( - 1 , \infty )\)
• C) \(( - \infty , 1 )\) or \(( 3 , \infty )\)
• D) \(( - \infty , 1 ]\) or \([ 3 , \infty )\)

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Definitions:

Pelvis

The lower part of the torso in human and vertebrates, comprising hip bones surrounding and protecting organs in the abdominopelvic cavity.

Foramen Magnum

The large opening at the base of the skull through which the spinal cord passes to connect with the brain.

Bipedalism

The ability to walk on two legs, a characteristic feature of humans and our ancestors that allows for a range of motion and energy efficiency.

Hominids

A family of primates that includes humans, their ancestors, and other extinct related species, characterized by bipedalism, large brains, and complex behavior.