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, $-$1, 0}
(iv) D = {x|x = 2ⁿ, n$\in$N}

Answer 1

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.