Solve the Inequality and Give the Solution in Interval Notation $$\frac { x - 6 } { ( x + 5 ) ( x - 2 ) } > 0$$

question 111

Multiple Choice

Solve the inequality and give the solution in interval notation.
- $$\frac { x - 6 } { ( x + 5 ) ( x - 2 ) } > 0$$

• A) \[( - 5,2 ) \cup ( 6 , \infty )\]
• B) \[( - 6 , - 2 ) \cup ( 5 , \infty )\]
• C) \[( - 2,5 ) \cup ( 6 , \infty )\]
• D) \[( - 5 , - 6 ) \cup ( 5 , \infty )\]

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Definitions:

Molecular Orbitals

Regions in molecules where there is a high probability of finding electrons, representing the quantum state of an electron in a molecule.

β-carotene

β-carotene is a strongly colored red-orange pigment abundant in plants and fruits, a precursor of vitamin A, and an antioxidant.

Conjugated

Refers to a system in organic chemistry where alternating single and multiple bonds result in enhanced stability and unique reactivity.

Carbocation Intermediate

A positively charged carbon ion, often found as a reactive intermediate in organic reactions, characterized by a carbon atom having only six electrons in its valence shell.