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Q.

Classify C = {..., −3, −2, −1, 0} as ‘finite’ or ‘infinite’.


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a

Infinite

b

Finite

c

Data insufficient

d

None of these 

answer is A.

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Detailed Solution

As we can see, the given set C = {...,−3,−2,−1,0} contains only integers.
Here we will discuss the definition of integers:
Integers are those real numbers which come under the group of real numbers and contain all the positive as well as all the negative numbers up to infinity including zero.
Here, the maximum limit of the given set C is given as 0.
But it contains an infinite number of negative real numbers from -1 to −∞.
So, it contains an infinite number of negative numbers irrespective of the maximum limit 0 and does not contain infinite positive numbers except 0.
Since there are infinite elements in the given set C, it is an infinite set.
Therefore, the correct answer is option 1.
 
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