What are the elements of set X created using inequality

Thread Starter

zulfi100

Joined Jun 7, 2012
656
Hi,
X is the set of all integers n that satisfy the inequality
2 <= |n| <=5

In my view, X has only positive values: 2, 3, 4, & 5.

How there are negative values in X?

Somebody please guide me.

Zulfi.
 

Thread Starter

zulfi100

Joined Jun 7, 2012
656
Hi,
Thanks for your response. You mean when we remove the mode symbol i.e bar we would get +4 so we can have -2,-3,-4 & -5 also in the set.

Is this correct?

Zulfi.
 

Raymond Genovese

Joined Mar 5, 2016
1,653
Hi,
Thanks for your response. You mean when we remove the mode symbol i.e bar we would get +4 so we can have -2,-3,-4 & -5 also in the set.

Is this correct?

Zulfi.
Zulfi! 'sup mah man? Good to see you cranking away!:)

Do you know the terms absolute value / modulus ?

For any real number x, the absolute value or modulus of x is denoted by |x| (a vertical bar on each side of the quantity) and is defined as[8]
The absolute value of x is thus always either positive or zero, but never negative (since x < 0 implies −x > 0).
 

WBahn

Joined Mar 31, 2012
29,979
Hi,
Thanks for your response. You mean when we remove the mode symbol i.e bar we would get +4 so we can have -2,-3,-4 & -5 also in the set.

Is this correct?

Zulfi.
Yes. |x| is the "absolute value" or "magnitude" or "modulus" of x.

For a real number, |x| = -x if x < 0, else |x| = x.

Thus |x| is always a non-negative number.
 
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