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Q.3 State whether each of the following set is finite or infinite:
(i) The set of lines which are parallel to the x-axis
(ii) The set of letters in the English alphabet
(iii) The set of numbers which are multiple of 5
(iv) The set of animals living on the earth
(v) The set of circles passing through the origin (0,0)
Answers (1)
(i) Lines parallel to the x-axis are infinite.
Hence, it is an infinite set.
(ii) Letters in English alphabets are 26 letters which are finite.
Hence, it is a finite set.
(iii) Numbers which are multiple of 5 has no limit, they are infinite.
Hence, it is an infinite set.
(iv) Animals living on earth are finite though the number is very high.
Hence, it is a finite set.
(v) There is an infinite number of circles which pass through the origin.
Hence, it is an infinite set.
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