Solve the Compound Inequality $$- 1 \leq \frac { 2 x + 3 } { 3 } < 4$$

question 40

Multiple Choice

Solve the compound inequality. Graph the solution set, and write the solution set in interval notation.
- $$- 1 \leq \frac { 2 x + 3 } { 3 } < 4$$

• A) \(( - \infty , - 3 ] \cup \left( \frac { 9 } { 2 } , \infty \right)\)
• B) \(( - \infty , - 3 ) \cup \left[ \frac { 9 } { 2 } , \infty \right]\)
• C) \(\left[ - 3 , \frac { 9 } { 2 } \right]\)
• D) \(\left[ - 3 , \frac { 9 } { 2 } \right]\)

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Definitions:

Operating Leverage

The degree to which a company's net income can be affected by a change in sales, influenced by the proportion of fixed costs in a company's cost structure.

Salesvolume

The total amount of a product sold within a specific period.

Degree of Operating Leverage

A financial ratio that measures the sensitivity of a company's operating income to its sales volume, highlighting the impact of fixed costs.

Variable Expenses

Costs that vary directly with the level of production or sales volume.