Here is the reformatted version of the table:
```
Interval |
-----------------
(-∞, -7] |
[-2, 3] |
(-2, 5) |
-----------------
```

Question

11-06-2024
Mathematics

Answered

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Here is the reformatted version of the table:
```
Interval |
-----------------
(-∞, -7] |
[-2, 3] |
(-2, 5) |
-----------------
```

Sagot :

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GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-06-11T06:32:53-04:00

Given the intervals [tex]$(-\infty, -7]$[/tex], [tex]$[-2, 3]$[/tex], and [tex]$(-2, 5)$[/tex], we can analyze them as follows:

1. Interval [tex]$(-\infty, -7]$[/tex]:
- This interval includes all real numbers less than or equal to [tex]$-7$[/tex].
- In interval notation, it is expressed as [tex]$(-\infty, -7]$[/tex].

2. Interval [tex]$[-2, 3]$[/tex]:
- This interval includes all real numbers from [tex]$-2$[/tex] to [tex]$3$[/tex], inclusive of both endpoints.
- In interval notation, it is expressed as [tex]$[-2, 3]$[/tex].

3. Interval [tex]$(-2, 5)$[/tex]:
- This interval includes all real numbers greater than [tex]$-2$[/tex] and less than [tex]$5$[/tex], but does not include the endpoints [tex]$-2$[/tex] and [tex]$5$[/tex].
- In interval notation, it is expressed as [tex]$(-2, 5)$[/tex].

These intervals can be written in their standard mathematical notation to reflect the sets they represent. Therefore, the intervals are:

- [tex]$(-\infty, -7]$[/tex]
- [tex]$[-2, 3]$[/tex]
- [tex]$(-2, 5)$[/tex]

These representations help visualize the ranges of numbers included in each interval.

### Summary

The intervals provided are:
- [tex]$(-\infty, -7]$[/tex]: This interval includes all numbers from negative infinity up to and including [tex]$-7$[/tex].
- [tex]$[-2, 3]$[/tex]: This interval includes all numbers from [tex]$-2$[/tex] to [tex]$3$[/tex], including the endpoints.
- [tex]$(-2, 5)$[/tex]: This interval includes all numbers between [tex]$-2$[/tex] and [tex]$5$[/tex], excluding the endpoints.

Sagot :

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