Solve the Inequality $| 5 x - 13 | < - 6$

question 115

Multiple Choice

Solve the inequality. Graph the solution set and write it using interval notation . $| 5 x - 13 | < - 6$

• A) \(x \in \left( - \frac { 13 } { 5 } , \frac { 19 } { 5 } \right)\);
• B) \(x \in \left( - \frac { 13 } { 5 } , \infty \right)\);
• C) \(x \in \left( - \infty , \frac { 19 } { 5 } \right)\);
• D) \(x \in \left( - \infty , - \frac { 13 } { 5 } \right) \cup \left( \frac { 19 } { 5 } , \infty \right)\);
• E) no solution;

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Definitions:

Demand Curve

A diagram that displays the connection between the cost of a commodity and the level of demand for it within a set timeframe.

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, measured above the supply curve to the equilibrium price.

Price Floor

A government-imposed minimum price charged for a good or service, intended to prevent prices from falling below a certain level to protect producers or market sectors.

Producer Surplus

The difference between the amount producers are willing to accept for a good or service versus the amount they actually receive in the market.