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Write the following sets in roster form: (i) A = {x : x is an integer and –3 ≤ x (ii) B = {x : x is a natural number less than 6}

Write the following sets in roster form:
 
(i) A = {x : x is an integer and –3 ≤ x
 
(ii) B = {x : x is a natural number less than 6}

Grade:12

2 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Welcome to AskIITians

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

Integers are …-5, -4, -3, -2, -2, 0, 1, 2, 3, 4, 5, 6, 7, 8,…..
but according to given conditions

A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

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

Natural numbers are 1, 2, 3, 4, 5, 6, 7, ……
But we need numbers to be less than 6 (also not equal to 6)
B = {1, 2, 3, 4, 5}

Thanks
Aman Tomar
17 Points
2 years ago
i) A={x:x is an integer and -3≤x
A={-3,-2,-1,0,1,2,3,4,5,6} 
ii) B={x:x is a natural number less than 6
B={1,2,3,4,5}

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