(A) set is called finite if it has a countable number of elements.The set $\{1, 2, 3, \ldots, 99, 100\}$ contains all natural numbers starting from $1

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(A) set is called finite if it has a countable number of elements.The set $\{1, 2, 3, \ldots, 99, 100\}$ contains all natural numbers starting from $1$ up to $100$.Since the number of elements in this set is exactly $100$,which is a definite and countable number,the set is a finite set.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Determine whether the following set is finite or infinite:
$\{1, 2, 3, \ldots, 99, 100\}$

A
Finite set
B
Infinite set
C
Empty set
D
None of these

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What is the remainder when the polynomial $P(x) = 1 + x + x^3 + x^9 + x^{27} + x^{81} + x^{243}$ is divided by $x - 1$?

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Write the following set in roster form:
$B = \{x : x \text{ is a natural number less than } 6\}$

Easy

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If $A$ and $B$ are two sets,then $A \cup B = A \cap B$ if and only if

Easy

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If $A = \{x \in \mathbb{R} : x^2 + 5|x| + 6 = 0\}$,then $n(A) = $

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

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Determine whether the following set is finite or infinite:$\{1, 2, 3, \ldots, 99, 100\}$

Similar Questions

What is the remainder when the polynomial $P(x) = 1 + x + x^3 + x^9 + x^{27} + x^{81} + x^{243}$ is divided by $x - 1$?

Write the following set in roster form:$B = \{x : x \text{ is a natural number less than } 6\}$

If $A$ and $B$ are two sets,then $A \cup B = A \cap B$ if and only if

If $A = \{x \in \mathbb{R} : x^2 + 5|x| + 6 = 0\}$,then $n(A) = $

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

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Determine whether the following set is finite or infinite:
$\{1, 2, 3, \ldots, 99, 100\}$

Write the following set in roster form:
$B = \{x : x \text{ is a natural number less than } 6\}$

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