Solve the Absolute Value Equation $$\left| \frac { 3 y + 4 } { 2 } \right| = \left| \frac { 1 } { 4 } y + 1 \right|$$

question 83

Multiple Choice

Solve the absolute value equation. $$\left| \frac { 3 y + 4 } { 2 } \right| = \left| \frac { 1 } { 4 } y + 1 \right|$$

• A) \(\left\{ - \frac { 5 } { 12 } , \frac { 11 } { 7 } \right\}\)
• B) \(\left\{ - \frac { 4 } { 5 } , - \frac { 12 } { 7 } \right\}\)
• C) \(\left\{ \frac { 2 } { 3 } , - \frac { 7 } { 8 } \right\}\)
• D) \(\left\{ \frac { 1 } { 4 } , - \frac { 7 } { 2 } \right\}\)

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Definitions:

Temporal Lobe

A region of the brain located at the sides of the head responsible for processing auditory information and involved in memory and emotion.

Medulla Oblongata

The lower portion of the brainstem controlling vital autonomic functions such as heartbeat, breathing, and blood pressure.

Cranial Nerve

One of twelve nerves that are directly connected to the brain, serving the head and neck.

Trigeminal Nerve

A cranial nerve responsible for sensory information from the face and head, as well as motor functions for biting and chewing.