Solve the Inequality $$( 3 x + 2 ) ( 4 x - 1 ) > 0$$

question 9

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$( 3 x + 2 ) ( 4 x - 1 ) > 0$$

• A) \(\left[ - \frac { 2 } { 3 } , \frac { 1 } { 4 } \right]\)
• B) \(\left( - \frac { 2 } { 3 } , \frac { 1 } { 4 } \right)\)
• C) \(\left( - \infty , - \frac { 2 } { 3 } \right) \cup \left( \frac { 1 } { 4 } , \infty \right)\)
• D) \(\left( - \infty , - \frac { 2 } { 3 } \right] \cup \left[ \frac { 1 } { 4 } , \infty \right)\)

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Definitions:

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A philosophical theory that reality is fundamentally mental or spiritual in nature.

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A perspective that interprets actions or events in terms of their purpose or goal rather than their cause.