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Question
List the elements of the following sets:
{x : x ∈ Z and x2 ≤ 4}
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
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