What are the elements of set X?

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SUMMARY

The set X consists of all integers n that satisfy the inequality 2 <= |n| <= 5. This includes both positive and negative integers, specifically -5, -4, -3, -2, 2, 3, 4, and 5. The misunderstanding arises from the absolute value notation, which indicates that both positive and negative values are included in the solution set. Therefore, the correct elements of set X are: -5, -4, -3, -2, 2, 3, 4, and 5.

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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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