A set Y is set of all integers k greater than −10 and less than 5 can be represented as:
A
Y={−10,−9,−8,...,3,4,5}
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B
Y={−9,−8,−7,−6,...,2,3,4}
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C
Y={k:k>−10&k<5&k∈I}
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D
Y={k:k<−10&k>5&k∈I}
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Solution
The correct option is CY={k:k>−10&k<5&k∈I} Given the set Y having integral elements k such that k>−10 and k<5.
We can represent the set in Roster form as Y={−9,−8,−7,−6,...,2,3,4}
and in Set-builder form as: Y={k:k>−10&k<5&k∈I}