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State which of the following sets are fi...

State which of the following sets are finite sets or infinite. In case of finite set, mention the order of cardinal number
(i) `A=("x:x is a prime number and "x lt 15)`
(ii) `B=(x:x in N, and 3x+2=11)`
(iii) `C=(x:x in N and x^(2)-14x+3=0)`
(iv) `D=(1,2,3,4....)`

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To determine whether the given sets are finite or infinite, and to find the order of the cardinal number for finite sets, we will analyze each set step by step. ### Step 1: Analyze Set A **Set A**: \( A = \{ x : x \text{ is a prime number and } x < 15 \} \) 1. **Identify the prime numbers less than 15**: - The prime numbers less than 15 are: 2, 3, 5, 7, 11, and 13. ...
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