Solve the Rational Inequality and Graph the Solution Set on a Real

question 56

Multiple Choice

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval
notation.
- $$\frac { ( x - 1 ) ( 3 - x ) } { ( x - 2 ) ^ { 2 } } \leq 0$$

• A) \(( - \infty , 1 ] \cup [ 3 , \infty )\)
• B) \(( - \infty , - 3 ] \cup ( - 2 , - 1 ) \cup [ 1 , \infty )\)
• C) \(( - \infty , - 3 ) \cup ( - 1 , \infty )\)
• D) \(( - \infty , 1 ) \cup ( 3 , \infty )\)

---

Definitions:

Koster and Bial

A historical entertainment venue in New York City, significant for being one of the first places where a motion picture was publicly projected to an audience in 1896.

Magic Lanterns

Early projection devices used before the advent of cinema, capable of projecting painted images onto a surface, often used for entertainment and educational purposes.

Motion Toys

Mid-nineteenth century devices that facilitated the viewing of multiple moving images. See also thaumatrope; phenakistoscope; zoetrope; praxinoscope.

Sound on Disc

An early method of providing synchronized sound to silent films using records played in conjunction with the film's projection, before the advent of sound-on-film technology.