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Question
List all the elements of the following set:
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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