What are the elements of set X?

In summary, X is the set of all integers n that satisfy the inequality 2 <= |n| <= 5. The elements of set X are 2, 3, 4, and 5. The vertical bars around |n| indicate absolute value, meaning that all positive and negative values of n within the given range are included in the set. Therefore, X also includes -2, -3, -4, and -5.
  • #1
zak100
462
11

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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  • #2
Do you know that the vertical bars around |n| mean absolute value? How does that effect which integers n are in the set?
 
  • #3
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.
 

Related to What are the elements of set X?

What are the elements of set?

The elements of a set are the individual objects or numbers that are included in the set. They can be anything from numbers, letters, or even other sets.

How many elements can a set have?

A set can have any number of elements, including 0 elements. The number of elements in a set is called the cardinality of the set.

What is the difference between elements and subsets?

Elements are individual objects within a set, while subsets are sets that are contained within a larger set. Subsets can have multiple elements, but elements cannot have subsets.

Can an element be repeated within a set?

No, an element cannot be repeated within a set. Each element in a set must be unique.

How are elements of a set represented?

Elements of a set can be represented in various ways, such as using curly braces { } to enclose the elements, listing the elements separated by commas, or using set-builder notation to describe the elements using a mathematical rule.

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