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Proper set

State, whethe...

Question

State, whether the following statement is true? Give reason to support your answer.

(ii) Every subset of an infinite set is infinite

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Solution

Here, ${0, 1, 2, 3}$ is a finite subset of infinite set $W$ of whole numbers.
So, given statement is false.

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Which of the following statements are true ? Give reason to support your answer.

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(ii) Every subset of an infinite set is infinite.

(iii) Every subset of a finite set is finite.

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Q. Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either

A \subseteq B or B \subseteq A;

(ii) Every subset of an infinite set is infinite;
(iii) Every subset of a finite set is finite;
(iv) Every set has a proper subset;
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