Question

4. D={ xlx € 1, 3 < x <4}
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Answer 1

Answer:

A={x:x is an integer and−3<x<7}

The elements of this set are −2,−1,0,1,2,3,4,5, and 6 only.

Therefore, the given set can be written in roster form as

A={−2,−1,0,1,2,3,4,5,6}

(ii) B={x:x is a natural number less than 6}

The natural numbers less than 6 are 1,2,3,4,5 

So, the elements of this set are 1,2,3,4, and 5 only.

Therefore, the given set can be written in roster from as

B={1,2,3,4,5}

(iii) C={x:x is a two-digit natural number such that the sum of its digits is 8}

The elements of this set are 17,26,35,44,53,62,71 and 80 only.

Therefore, this set can be written in roster form as

C={17,26,35,44,53,62,71,80}

(iv) D={x:x is a prime number which is a divisor of 60}

2∣602∣30

3∣15

5∣5

∣1

∴60=2×2×3×5

∴ The elements of this set are 2,3, and 5 only.

Therefore, this set can be written in roster form as D={2,3,5}.

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Answer 2

Answer:

x= 3.4 ,3.5,3.6

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