Solve the Polynomial Inequality and Graph the Solution Set on a Number

question 123

Multiple Choice

Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval
notation.
- $$4 x ^ { 2 } < 3 x + 1$$

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

---

Definitions:

Triplet

An atomic or molecular state characterized by three possible values of its magnetic quantum number, indicating a level of spin degeneracy.

IR Data

Information obtained from infrared spectroscopy that shows how a molecule absorbs infrared light, used to determine molecular structure.

Aldehyde

Organic compounds characterized by a carbonyl group (C=O) bonded to at least one hydrogen atom, known for their reactivity and widespread use in organic synthesis.

Ketone

Organic compounds characterized by the presence of a carbonyl group (C=O) connected to two carbon atoms within the molecular structure, not at the end as in aldehydes.