Find All Numbers That Satisfy the Following $\frac { 1 } { 3 }$

question 192

Multiple Choice

Find all numbers that satisfy the following.
-The sum of 9 times a number and the reciprocal of the number is positive. Find the numbers.

• A) any number greater than \(\frac { 1 } { 3 }\)
• B) any number greater than 0
• C) any number between 0 and \(\frac { 1 } { 3 }\)
• D) any number between \(- \frac { 1 } { 3 }\) and \(\frac { 1 } { 3 }\)

---

Definitions:

Vaudevillian Performance

A type of entertainment popular in the early 20th century, consisting of a mixture of specialty acts such as burlesque comedy, song, and dance.

Hand-tinting

A method of manually adding color to black-and-white photographs or films, often resulting in a distinctive, artistic look.

Uniform Tinting

The process of applying a single color tone across an entire film or visual piece, often used in early cinema to convey mood or time of day.

First National

Originally a major American film studio and distributor, later becoming a part of Warner Bros.