Solve the Rational Inequality $$\frac { - 4 x + 6 } { 2 x ^ { 2 } + 2 } > 0$$

question 374

Multiple Choice

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

• A) \(\left( - \infty , - \frac { 2 } { 3 } \right)\)
• B) \(\left( - \infty , \frac { 3 } { 2 } \right)\)
• C) \(( - \infty , 0 )\)
• D) \(\left( - \frac { 3 } { 2 } , \infty \right)\)

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Definitions:

Micelle

A spherical aggregate of surfactant molecules formed in a liquid colloid, important in various chemical and industrial processes.

Emulsion

A mixture of two or more liquids that are normally immiscible, with one liquid containing a dispersion of the other.

Phospholipids

A group of lipids essential to all cell membranes for their ability to create lipid bilayers.

Phosphatidate Core

The basic structure of phospholipids, consisting of a glycerol backbone, two fatty acid tails, and a phosphate group, crucial in membrane biology.