Mathematics · JEE I SETS
हिन्दीLet \( S \) be the set of all integers \( x \) such that \( -3 \le x < 7 \). If \( T = \{ x \in S : x \text{ is prime} \} \), then the number of subsets of \( T \) containing the smallest prime number is:
View Answer & Solution
Correct answer · Option D
4
Explanation
Primes in \( S = \{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6\} \) are \( \{2, 3, 5\} \) (since primes are natural numbers \( > 1 \)). Smallest prime is 2. Subsets containing 2 is \( 2^{3-1} = 2^2 = 4 \).