Which of the following sets is finite?

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To determine which set is finite,we analyze each option:
$A$: The set of all prime numbers is infinite.
$B$: There are infinitely many quadrilat

Vedclass · Accepted Answer

$\{x \in \mathbb{N} \mid x^2 - 25 \le 0\}$

Vedclass · Answer

(C) To determine which set is finite,we analyze each option:
$A$: The set of all prime numbers is infinite.
$B$: There are infinitely many quadrilaterals that can be drawn on a plane.
$C$: We are given the condition $x \in N$ (natural numbers) and $x^2 - 25 \leq 0$. Solving $x^2 \leq 25$ gives $-5 \leq x \leq 5$. Since $x \in N$,the possible values for $x$ are ${1, 2, 3, 4, 5}$. This set contains $5$ elements,so it is finite.
$D$: The set of multiples of $3$ in natural numbers is ${3, 6, 9, 12, \dots}$,which is infinite.
Therefore,the correct set is ${x: x \in N 	ext{ and } x^2 - 25 \leq 0}$.

Similar Questions

If $A = \{1, 2, 3\}$ and $B = \{3, 8\}$,then $(A \cup B) \times (A \cap B)$ is

Given two finite sets $A$ and $B$ such that $n(A) = 2$ and $n(B) = 3$. Then,the total number of relations from $A$ to $B$ is:

The domain of the function $f(x) = \sqrt{x - x^2} + \sqrt{4 + x} + \sqrt{4 - x}$ is

If $U = \{a, b, c, d, e, f\}$,$A = \{a, b, c\}$,$B = \{c, d, e, f\}$,and $C = \{c, d, e\}$,find $(A \cup B) \cup C$.

Which of the following sets is infinite?

Vedclass Test Series

Exam Paper Generator

Online Exam Module