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Find all elements of set A={z|z is an integer greater than or equal to 4}.

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Lwillett123 | eNotes Newbie

Posted September 3, 2013 at 8:07 PM via web

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Find all elements of set A={z|z is an integer greater than or equal to 4}.

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t-rashmi | College Teacher | (Level 3) Assistant Educator

Posted September 8, 2013 at 10:57 AM (Answer #1)

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This can also be represented as A = {z | z ≥ 4 , z ∈ I } 

Thus A = { 4, 5, 6, 7, 8, ............... ∞ } . 

The number of elements of this set is infinite.

Thus n( A ) = ∞ . 

It may be noted here that even though the set starts from 4 and not from 1 or 0, the number of elements of this set will be infinite or ∞ . The lack of integers occuring to the left of 4 does not reduce the number of elements of the set A. Thus,

A = { 4, 5, 6, 7, 8, ............... ∞ }

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