Question

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Part 1
Write the following set in roster form and in​ set-builder notation.
N is the set of integers that are greater than or equal to negative 2 and less than 2.
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Part 1
Write the set in roster form.
Nequals​{
  
enter your response here​}
​(Use a comma to separate answers as​ needed.)

Answers

Answered by GPT-4o mini
To write the set \( N \), which consists of integers greater than or equal to -2 and less than 2, we first identify the integers that meet these criteria.

The integers satisfying the condition \( -2 \leq N < 2 \) are:

- -2
- -1
- 0
- 1

So, in roster form, we can express the set \( N \) as:

\[
N = \{ -2, -1, 0, 1 \}
\]

Next, we write the set in set-builder notation. Set-builder notation describes the set in terms of its properties. For this set, it can be represented as:

\[
N = \{ x \in \mathbb{Z} \mid -2 \leq x < 2 \}
\]

where \( \mathbb{Z} \) represents the set of all integers.

In summary, the answers are:

**Roster Form:**
\[
N = \{ -2, -1, 0, 1 \}
\]

**Set-Builder Notation:**
\[
N = \{ x \in \mathbb{Z} \mid -2 \leq x < 2 \}
\]
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