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Question

Classify the following sets as 'finite' or 'infinite'.
(i) A = {x|x is a multiple of 3}
(ii) B = {y|y is a factor of 13}
(iii) C = {..., -3, -2, -1, 0}
(iv) D = {x|x = 2n, nN}

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Solution

We have to classify the following sets as finite or infinite:

(i) A = {3,6,9,...}
This set includes infinite numbers, therefore it is an infinite set.

(ii) B = {1,13}
This set includes only two numbers, therefore it is a finite set.

(iii) C = {...,-3,-2,-1,0}
This set includes infinite numbers, therefore it is an infinite set.

(iv) D= { 21,22 ,23,...}
This set includes infinite numbers, therefore it is an infinite set.

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