Solve the Rational Inequality $$\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0$$

question 301

Multiple Choice

Solve the rational inequality. Write the solution set in interval notation.
- $$\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0$$

• A) \(( - \infty , - 7 ) \cup ( 3,4 )\)
• B) \([ - 7,3 ] \cup ( 4 , \infty )\)
• C) \(( - \infty , - 7 ] \cup [ 3,4 )\)
• D) \([ 3,4 )\)

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Definitions:

Fraction

A numerical value that represents a fraction of a whole but is not an integer.

Mixed Number

A number consisting of an integer and a proper fraction, representing a value between two whole numbers.

Fraction

A numerical quantity that is not a whole number, representing a part of a whole.