What are the elements of set X?

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Set X consists of all integers n that satisfy the inequality 2 <= |n| <= 5, which includes both positive and negative values. The absolute value notation indicates that n can be either positive or negative, leading to the inclusion of -5, -4, -3, -2, 2, 3, 4, and 5 in the set. Therefore, the complete elements of set X are -5, -4, -3, -2, 2, 3, 4, and 5, totaling eight elements. Understanding the absolute value is crucial for correctly identifying the integers that meet the criteria. This clarification resolves the confusion regarding the presence of negative values in the set.
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Homework Statement


X is the set of all integers n that satisfy the inequality

2 <= |n| <=5
What are the elements of set X?

Homework Equations



Provided above.

The Attempt at a Solution


In my view X should have: 2, 3, 4, 5 elements. I can't understand how X have negative values. Some body please guide me.

Zulfi.
 
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Do you know that the vertical bars around |n| mean absolute value? How does that effect which integers n are in the set?
 
zak100 said:
In my view X should have: 2, 3, 4, 5 elements.
That would be correct if your inequality were this one:
2 <= n <= 5
@phyzguy's question is relevant for your problem.
 

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