Question

(iii) C = {x: x is an integer, x? <4}
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QUESTION By default hide Solutions

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}