(A) The given equation is $(x - 1)(x - 2) = 0$.Solving this,we get $x = 1$ or $x = 2$.Since both $1$ and $2$ are natural numbers $(x \in \mathbb{N})$,

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(A) The given equation is $(x - 1)(x - 2) = 0$.Solving this,we get $x = 1$ or $x = 2$.Since both $1$ and $2$ are natural numbers $(x \in \mathbb{N})$,the set is $\{ 1, 2 \}$.Since the number of elements in the set is countable and limited,it is a finite set.

Class 11 Mathematics Sets Basic of Set theory

Medium

State which of the following sets are finite or infinite:
$\{ x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0 \}$

A
Finite
B
Infinite
C
Empty
D
None of these

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Class 11 Questions

Class 11

Mathematics Questions

Chapter

Sets

Subtopic

Basic of Set theory

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$\{\varnothing\} \subset A$

Easy

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For two sets $A$ and $B$,$A \cup B = A$ if and only if

Easy

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Which of the following sets is finite or infinite?
The set of prime numbers less than $99$.

Easy

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If ${N_a} = \{an : n \in N\}$,then ${N_3} \cap {N_4} = $

Medium

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State which of the following sets are finite or infinite:
$A = \{ x : x \in \mathbb{N} \text{ and } x \text{ is prime} \}$

Easy

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State which of the following sets are finite or infinite:$\{ x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0 \}$

Similar Questions

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?$\{\varnothing\} \subset A$

For two sets $A$ and $B$,$A \cup B = A$ if and only if

Which of the following sets is finite or infinite?The set of prime numbers less than $99$.

If ${N_a} = \{an : n \in N\}$,then ${N_3} \cap {N_4} = $

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State which of the following sets are finite or infinite:
$\{ x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0 \}$

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$\{\varnothing\} \subset A$

Which of the following sets is finite or infinite?
The set of prime numbers less than $99$.

State which of the following sets are finite or infinite:
$A = \{ x : x \in \mathbb{N} \text{ and } x \text{ is prime} \}$