List the elements of the following set : {x : x ∈ Z and x 2 ≤ 4}

{x : x ∈ Z and x 2 ≤ 4} When x 2 = 4 x = = 2 or -2 When x 2 = 1 x = = 1 or -1 When x 2 = 0 x = = 0 Hence, the elements are = -2, -1, 0, 1 and 2.

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{x : x ∈ Z and x² ≤ 4}

When x² = 4

x = $\sqrt{4}$ = 2 or -2

When x² = 1

x = $\sqrt{1}$ = 1 or -1

When x² = 0

x = $\sqrt{0}$ = 0

Hence, the elements are = -2, -1, 0, 1 and 2.

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