Question

give a word description for the set below. {17,18,19,20,...,31} choose the correct answer below. a. the set of all numbers between 17 and 31, including 17 and 31. b. the set of all natural numbers greater than 17. c. the set of all natural numbers less than or equal to 31. d. the set of all natural numbers strictly between 17 and 31. e. the set of all natural numbers greater than or equal to 17 and less than or equal to 31.

Explanation:

First, analyze the given set {17,18,19,20,...,31}:

• Option A is incorrect because it says "all numbers", which would include non-integers like 17.5, which are not in the set.
• Option B is incorrect as it includes all natural numbers greater than 17, which would go beyond 31, not matching the set.
• Option C is incorrect because it includes natural numbers below 17, which are not in the given set.
• Option D is incorrect because "strictly between 17 and 31" excludes 17 and 31, but both are in the set.
• Option E correctly describes the set: it specifies natural numbers, includes 17 (greater than or equal to 17) and includes 31 (less than or equal to 31), matching all elements in the set.

Answer:

E. The set of all natural numbers greater than or equal to 17 and less than or equal to 31.