Markvazquez55idn
Answered

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Write a description of the set \{10, 11, 12, 13, ...\}. Choose the correct answer below.

A. The numbers ten, eleven, twelve, and thirteen.

B. All natural numbers greater than 9.

C. All rational numbers greater than 9.

D. All natural numbers greater than 10.

Sagot :

GinnyAnsweridn
Let's examine the set {10, 11, 12, 13, ...} closely.

1. Identify the type of numbers in the set:
- The set starts at 10 and includes every subsequent integer.
- Therefore, it includes numbers like 10, 11, 12, 13, 14, and so on, extending infinitely.

2. Determine the properties of the numbers in the set:
- These numbers are positive integers.
- Since they start from 10 and include every positive integer greater than or equal to 10, we can classify them as a subset of the natural numbers.

3. Evaluate each option:
- Option A: The numbers ten, eleven, twelve, and thirteen.
- This option only lists the first four elements of the set, not all elements.
- Option B: All natural numbers greater than 9.
- This implies that the set includes 10 and every positive integer greater than 10, which matches our set.
- Option C: All rational numbers greater than 9.
- Rational numbers include fractions and decimals, not just integers. Thus, this option does not match our set.
- Option D: All natural numbers greater than 10.
- This starts at 11, not 10, and therefore does not include all elements of our set.

Given this analysis, the correct answer is:

B. All natural numbers greater than 9.
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