Solve the Inequality $$( 2 y + 9 ) ( 4 y - 7 ) \leq 0$$

question 110

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$( 2 y + 9 ) ( 4 y - 7 ) \leq 0$$

• A) \(\left( - \infty , - \frac { 9 } { 2 } \right) \cup \left( \frac { 7 } { 4 } , \infty \right)\)
• B) \(\left( - \frac { 9 } { 2 } , \frac { 7 } { 4 } \right)\)
• C) \(\left[ - \frac { 9 } { 2 } , \frac { 7 } { 4 } \right]\)
• D) \(\left( - \infty , - \frac { 9 } { 2 } \right] \cup \left[ \frac { 7 } { 4 } , \infty \right)\)

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Definitions:

DEPT-135

A specialized NMR spectroscopy technique used to differentiate between CH, CH2, and CH3 groups in molecules.

Quaternary

Refers to the fourth-order structure in chemistry or the presence of four different groups attached to a central carbon atom.

Proton Spin Decoupled

A technique used in NMR spectroscopy where the interaction between different hydrogen nuclei ("spin coupling") is removed, simplifying the spectrum.

NMR Spectra

The graphical representation obtained from nuclear magnetic resonance spectroscopy, which provides detailed information about the structure of molecules.