can you describe the set  N={x |x is an integer and -5<x<-1}

The set \( N = \{ x \mid x \text{ is an integer and } -5 < x < -1 \} \) represents all integers that satisfy the condition that \( x \) is greater than \( -5 \) and less than \( -1 \). 

The integers between \( -5 \) and \( -1 \) (exclusive) are:
\[
N = \{ -4, -3, -2 \}
\]

So, the set \( N \) contains the integers \( -4, -3, \) and \( -2 \).

Would you like more details or have any questions?

### Related Questions:
1. How would the set change if the inequality was \( -5 \leq x \leq -1 \)?
2. What would the set look like if it included all real numbers instead of just integers?
3. How can you represent this set on a number line?
4. What would the set look like if \( x \) had to be a positive integer?
5. How can this set be expressed in interval notation?

**Tip:** When working with sets defined by inequalities, always check whether the boundaries are included (i.e., whether the inequality is strict or not).

Can you describe the set N={x |x is an integer and -5<x<-1}?

Understand how to describe the set N = {x | x is an integer and -5 < x < -1}. Learn about set theory, inequalities, and the specific integers that satisfy this condition: {-4, -3, -2}. Ideal for students in Grades 6-8.

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