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List the Elements of the Following Sets : {X : X ∈ Z and X2 ≤ 4} - Mathematics

Sum

List the elements of the following sets:

{x : x ∈ Z and x2 ≤ 4}

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Solution

{x : x ∈ Z and x2 ≤ 4}

When x2 = 4
x = ± `sqrt(4)` = ±2

When x2 = 1
x = ± `sqrt(1)` = ±1

When x2 = 0
x = `sqrt(0)` = 0

∴ Elements of the given set {x : x ∈ Z and x2 ≤ 4} are +2, -2, +1, -1, 0 or are -2, -1, 0, 1, 2 

Concept: Representation of a Set
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (A) | Q 5.4 | Page 65
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