UP TGT Mathematics Real Analysis Test Series - Part 2
Which of the following statements is TRUE?
Type: MCQ • Marks: 1
Which of the following statements is TRUE?
Options
A. Every subset of a countable set is countable
B. The set of irrational numbers is countable
C. Every subset of an uncountable set is uncountable
D. Every infinite set is uncountable
Explanation
Correct Answer: Option 1 (Every subset of a countable set is countable). A set is countable if it can be placed in 1-to-1 correspondence with natural numbers N. Q, Z, N are countable, whereas R, (a, b), and irrationals are uncountable.
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