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Select the most specific subset of all numbers to describe the following set of numbers.

[tex]\[ \left\{0.33, \pi(3.14159 \ldots), \frac{1}{4}, -23\right\} \][/tex]

A. Negative numbers

Sagot :

GinnyAnsweridn
To solve the problem of identifying the subset of numbers that represents the set

[tex]\[ \left\{0.33, \pi(3.14159 \ldots), \frac{1}{4}, -23\right\}, \][/tex]

follow these steps:

1. Identify each number in the set:

- [tex]\(0.33\)[/tex]: This is a positive decimal number.
- [tex]\(\pi (3.14159 \ldots)\)[/tex]: This is a positive irrational number.
- [tex]\(\frac{1}{4}\)[/tex]: This is a positive fraction.
- [tex]\(-23\)[/tex]: This is a negative integer.

2. Classify each number according to its sign:

- [tex]\(0.33\)[/tex]: Positive
- [tex]\(\pi (3.14159 \ldots)\)[/tex]: Positive
- [tex]\(\frac{1}{4}\)[/tex]: Positive
- [tex]\(-23\)[/tex]: Negative

3. Select the subset specified by the problem:

The problem asks us to focus on "Negative numbers." From the classification above, the number that fits this criterion is:

- [tex]\(-23\)[/tex]

Thus, the most specific subset of all numbers to describe the negative numbers in the given set is:

[tex]\[ \{-23\} \][/tex]
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