(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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Basic of Set theory

State whether the following statement is true or false. Justify your answer.
${2, 6, 10}$ and ${3, 7, 11}$ are disjoint sets.

Easy

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Which of the following is a set? Justify your answer.
The collection of all even integers.

Easy

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Which of the following is a true statement?

Medium

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The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

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

Similar Questions

State whether the following statement is true or false. Justify your answer.${2, 6, 10}$ and ${3, 7, 11}$ are disjoint sets.

Which of the following is a set? Justify your answer.The collection of all even integers.

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

State whether the following statement is true or false. Justify your answer.
${2, 6, 10}$ and ${3, 7, 11}$ are disjoint sets.

Which of the following is a set? Justify your answer.
The collection of all even integers.

State whether the following set is finite or infinite:
The set of animals living on the earth.