Solve the Inequality by Using Algebraic and Graphical Methods $$| 6 x - 9 | \geq 8$$

question 72

Multiple Choice

Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
- $$| 6 x - 9 | \geq 8$$

• A) \(x \leq - \frac { 17 } { 6 }\) or \(x \geq 8\)
• B) \(x \geq \frac { 17 } { 6 }\)
• C) \(\frac { 1 } { 6 } \leq x \leq \frac { 17 } { 6 }\)
• D) \(x \leq \frac { 1 } { 6 }\) or \(x \geq \frac { 17 } { 6 }\)

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Definitions:

Breathing

The process of taking air into and expelling it from the lungs, essential to supply the body with oxygen and remove carbon dioxide.

Upright Position

A body posture where an individual stands or sits straight, with the spine aligned vertically.

Diaphragm

A dome-shaped muscular partition separating the thorax from the abdomen in mammals, playing a major role in breathing.

Musculomembranous Wall

The layer composed of both muscle and membrane, often referring to structures within the body such as the digestive tract.