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Write the following sets in roster form:

(i) A = {x: x is an integer and –3 < x < 7}.

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

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

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

(v) E = The set of all letters in the word TRIGONOMETRY.

(vi) F = The set of all letters in the word BETTER.

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Just scribble down the discrete elements within 2nd bracket 1.-2 -1 0 1 2 3 4 5 6 2. 1 2 3 4 5 3. 1 + 7 starting with min natural no this 71 and 17 2 + 6 gives 26 62 3 + 5 gives 35 53 4 + 4 gives degenerate 44
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(i) A = {x: x is an integer and –3 x 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 elements of this set are...
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(i) A = {x: x is an integer and –3 x

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

Therefore, the given set can be written in roster form 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

60

2

30

3

15

 

5

∴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}.

(v) E = The set of all letters in the word TRIGONOMETRY

There are 12 letters in the word TRIGONOMETRY, out of which letters T, R, and O are repeated.

Therefore, this set can be written in roster form as

E = {T, R, I, G, O, N, M, E, Y}

(vi) F = The set of all letters in the word BETTER

There are 6 letters in the word BETTER, out of which letters E and T are repeated.

Therefore, this set can be written in roster form as

F = {B, E, T, R}

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Engineering graduate from NIT Calicut, Rank holder (#47) in State Entrance Examination.

(i)A={-2,-1,0,1,2,3,4,5,6} (ii)B={1,2,3,4,5} (iii)C={17,26,35,44,53,62,71,80} (iv)D={2,3,5} (v)E={T,R,I,G,O,N,M,E,Y} (vi)F={B,E,T,R}
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