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What is the set A, where A = x ∈ N: 13 < x < 17 and x is a prime number?

Mathematics

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Step 1: Analyze Question 1.
The set AA is defined as A={x∈N:13<x<17 এবং x মৌলিক সংখ্যা}A = \{x \in N: 13 < x < 17 \text{ এবং } x \text{ মৌলিক সংখ্যা}\}.
This means xx is a natural number between 13 and 17 (exclusive) and xx is a prime number.
The natural numbers between 13 and 17 are 14, 15, 16.

  • 14 is not prime (14=2×714 = 2 \times 7).
  • 15 is not prime (15=3×515 = 3 \times 5).
  • 16 is not prime (16=2×816 = 2 \times 8).
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