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State which of the following sets are finite or infinite:
MATHEMATICS · Subjective · CBSE · Mathematics · Sets · Sets
Problem State which of the following sets are finite or infinite:
(i) { x : x ∈ N and ( x − 1 ) ( x − 2 ) = 0 } \{x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0\} { x : x ∈ N and ( x − 1 ) ( x − 2 ) = 0 }
(ii) { x : x ∈ N and x 2 = 4 } \{x : x \in \mathbb{N} \text{ and } x^2 = 4\} { x : x ∈ N and x 2 = 4 }
(iii) { x : x ∈ N and 2 x − 1 = 0 } \{x : x \in \mathbb{N} \text{ and } 2x - 1 = 0\} { x : x ∈ N and 2 x − 1 = 0 }
(iv) { x : x ∈ N and x is prime } \{x : x \in \mathbb{N} \text{ and } x \text{ is prime}\} { x : x ∈ N and x is prime }
(v) { x : x ∈ N and x is odd } \{x : x \in \mathbb{N} \text{ and } x \text{ is odd}\} { x : x ∈ N and x is odd }
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