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:

Surplus

The amount by which the supply of a product exceeds its demand, often leading to lower prices.

Market For Butter

The economic platform where buyers and sellers engage in the exchange of butter, determining its price and quantity available.

Price Floor

A government or group-imposed price control that sets the minimum allowed price above the equilibrium price, potentially leading to surpluses.

Inefficiency

A situation where resources are not used in the most effective way, leading to waste or a loss of potential utility.