(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 Set Theory 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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Basic of Set theory

The set $A = \{ x : x \ne x \}$ represents:

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Let $a, b, c$ be real numbers. $A$ set formed with $a, b, c$ whose order of occurrence is preassigned is called:

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Write the following set in roster form:
$A = \{ x : x \text{ is an integer and } -3 < x < 7 \}$

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

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

Write the following set in roster form:
$A = \{ x : x \text{ is an integer and } -3 < x < 7 \}$