Question

describe the meaning of and in mathematics. give an example not included in the textbook. choose the correct answer below. a. when and is used with two categories, it represents all observations that are in at least one of the categories. in a box of colored pencils, the pencils that are sharp and red represent all colored pencils that are sharp as well as red. b. when and is used with two categories, it represents all observations that are in at least one of the categories. in a box of colored pencils, the pencils that are sharp and red represent all colored pencils that are sharp as well as all colored pencils that are red. c. when and is used with two categories, it represents all observations that are in both categories. in a box of colored pencils, the pencils that are sharp and red represent all the colored pencils that are sharp as well as all the colored pencils that are red. d. when and is used with two categories, it represents all observations that are in both categories. in a box of colored pencils, the pencils that are sharp and red represent all the red pencils that are sharp.

Explanation:

In mathematics, the logical operator "AND" between two categories means the intersection, i.e., elements that belong to both categories. In the context of colored - pencils, sharp AND red pencils are those that are both sharp and red. Option A and B misinterpret "AND" as elements in at least one category (which is "OR"). Option C has a wrong description in the second part as it separates the two properties instead of finding the intersection. Option D correctly defines "AND" as representing elements in both categories, which are red pencils that are sharp.

Answer:

D. When AND is used with two categories, it represents all observations that are in both categories. In a box of colored pencils, the pencils that are sharp AND red represent all the red pencils that are sharp.