Let A be the set odd positive integers less than 10. Then cardinality

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Module 1: Sets, Relation and Function.

20232m

Let A be the set odd positive integers less than 10. Then cardinality of A, ∣A∣ is

(i) 5
(ii) 9
(iii) 6
(iv) 4

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Answer

Correct Option: (i) 5

Explanation

$A = \{ x \in \mathbb{Z}^+ \mid x \text{ is odd and } x < 10 \}$

Listing elements:
$A = \{1, 3, 5, 7, 9\}$

Cardinality $|A|$ is the number of distinct elements in $A$ .

Counting:
$|A| = 5$

Final Answer

$|A| = 5$ → Option (i) 5

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