Question
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
(iv) The set of animals living on the earth
(v) The set of circles passing through the origin (0,0)
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Text solutionVerified
(i) The set of lines which are parallel to the x-axis is an infinite set because lines parallel to the x-axis are infinite in number.
(ii) The set of letters in the English alphabet is a finite set because it has elements.
(iii) The set of numbers which are multiple of is an infinite set because multiples of are infinite in number.
(iv) The set of animals living on the earth is a finite set because the number of animals living on the earth is finite (although it is quite a big number).
(v) The set of circles passing through the origin is an infinite set because infinite number of circles can pass through the origin.
(ii) The set of letters in the English alphabet is a finite set because it has elements.
(iii) The set of numbers which are multiple of is an infinite set because multiples of are infinite in number.
(iv) The set of animals living on the earth is a finite set because the number of animals living on the earth is finite (although it is quite a big number).
(v) The set of circles passing through the origin is an infinite set because infinite number of circles can pass through the origin.
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Question Text | 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 (iv) The set of animals living on the earth (v) The set of circles passing through the origin (0,0) |
Answer Type | Text solution:1 |
Upvotes | 150 |