C-02-Q023mediumsingle_mcq

Which of the following is an infinite set?

a $\{1, 2, 3\}$
b $\{x : x \in \mathbb{N}\}$
c $\{x : x$ is a factor of $12\}$
d $\{\varnothing\}$

ব্যাখ্যা

$\{x : x \in \mathbb{N}\}$ is the set of all natural numbers, which continues without end and so is infinite. The other options each contain only finitely many elements.

এই অধ্যায়ের আরও প্রশ্ন

C-02-Q024Which of the following is a finite set?
C-02-Q025is a—
C-02-Q026is an integer and is—
C-02-Q027and is—
C-02-Q028In the proof that is infinite, the contradiction arises because—
C-02-Q029An empty set is a set with—
C-02-Q030The empty set is denoted by—
C-02-Q031Which of the following is an empty set?
C-02-Q032is prime and equals—
C-02-Q033Which set is NOT empty?

Sets and Functions — সব প্রশ্ন দেখুন (153টি) →

Which of the following is an infinite set?

\{1, 2, 3\}

\{x : x \in \mathbb{N}\}

\{x : x

is a factor of

12\}

\{\varnothing\}

ব্যাখ্যা

$\{x : x \in \mathbb{N}\}$ is the set of all natural numbers, which continues without end and so is infinite. The other options each contain only finitely many elements.