Countable and Uncountable Sets — Study Resources & PYQs
Countable and uncountable sets.
- Estimated study time: 30 minutes
Study resources
- Countable and Uncountable sets - GFG (Article) — Defines countable (finite/countably infinite) vs uncountable sets, with the diagonalisation argument for why the reals are uncountable.
Countable and Uncountable Sets previous year questions
- (a) Prove that the set of rational numbers is countable. (b) Find the number of integers between 1 and 500, both inclusive (i) which are divisible, either by 1…
- (a) Show that the set of all positive rational no.'s is a countably infinite set. (b) Show that the function $f: \mathbb{R} \to \mathbb{R}$ define by $f(x) = 2…
- (a) Show that the set of all positive rational numbers is a countably infinite set. (b) Show that the function, $f:R \to R$ defined by $f(x) = 2x^3 + 1, \foral…
Taught in these subjects
- Discrete Mathematics — BST8401 · Government College of Engineering and Technology, Jammu