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List All the Elements of the Following Sets: C = {X : X is an Integer, X2 ≤ 4} - CBSE (Arts) Class 11 - Mathematics

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Question

List all the elements of the following sets:

C = {x : x is an integer, x2 ≤ 4}

Solution

C = {x: x is an integer; x2 ≤ 4}

It can be seen that

(–1)2 = 1 ≤ 4; (–2)2 = 4 ≤ 4; (–3)2 = 9 > 4

02 = 0 ≤ 4

12 = 1 ≤ 4

22 = 4 ≤ 4

32 = 9 > 4

∴C = {–2, –1, 0, 1, 2}

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Solution List All the Elements of the Following Sets: C = {X : X is an Integer, X2 ≤ 4} Concept: Sets and Their Representations.
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