Write the following sets in the roster form :A = {x : x is an in

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 Multiple Choice QuestionsShort Answer Type

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11. Write the following sets in the roster form :

A = {x : x is an integer and –3 < x < 7}


A = {x : x is an integer and –3 < x < 7}

rightwards double arrowA = set of all integers between -3 (inclusive) and 7 (exclusive)

rightwards double arrowA = {-3, -2, -1, 0, 1 ,2, 3, 4, 5, 6}
Hence , the roster form of set  A is   {-3, -2, -1, 0, 1 ,2, 3, 4, 5, 6}

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12. Write the following sets in the roster form :

B = {x : x is a natural number less than 6}
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13. Write the following sets in the roster form :

C = {x : x is a two-digit natural number such that the sum of its digits is 8}
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14. Write the following sets in the roster form :

D = {x : x is a prime number which is divisor of 60}
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15. Write the following sets in the roster form :

E = The set of all letters in the word TRIGONOMETRY
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16.

 If A ⊆ B, show that:

(a) A ∩ B=A (b) A ∪ B = B

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17. Find A A B for the following pairs of sets :


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18.

Write the following intervals in set-builder form :

(i)-∞ 31 (ii) (-∞, 0) (iii) [-1, ∞) (iv) (3, ∞)

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19.

Write the following sets in the roster form :

(i) A = {jt : x ∊ Z and x is a root of the quadratic equation x2 - 3x - 10 = 0}

(ii) B = {x : x ∊ N, -5 < x - 2 < 5}

(iii) C = {x : jc is an odd prime number less than 30}

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20.  List all the elements of the following sets :


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