Solve the Inequality $$- x ^ { 2 } + 8 x - 11 < 0$$

question 406

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$- x ^ { 2 } + 8 x - 11 < 0$$

• A) \(( - \infty , 4 - \sqrt { 5 } ) \cup ( 4 + \sqrt { 5 } , \infty )\)
• B) \(( - 4 - \sqrt { 5 } , - 4 + \sqrt { 5 } )\)
• C) \(( 4 - \sqrt { 5 } , 4 + \sqrt { 5 } )\)
• D) \(( - \infty , - 4 - \sqrt { 5 } ) \cup ( - 4 + \sqrt { 5 } , \infty )\)

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Definitions:

Ages of Jockeys

Typically refers to the distribution or average age of jockeys within a particular dataset or study.

Extreme Values

Observations that are significantly higher or lower than the majority of data points in a dataset.

Distribution of Weights

The spread of different weights within a dataset, showing how often each weight occurs.

Quartiles

Values that divide a data set into four equal parts, representing the distribution of the data from the lowest to the highest values.