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Write the following sets in roster form:...

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 1
(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

Text Solution

Verified by Experts

(i) A={x:x is an integer and−3 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.
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