Set A is defined as {x : x is an integer, x² ≤ 4}. Which is the correct roster of A?
A{−2, −1, 1, 2}
B{−2, −1, 0, 1, 2}
C{0, 1, 2}
D{1, 2}
Answer & Solution
Correct answer: B. {−2, −1, 0, 1, 2}
x² ≤ 4 for integers x means −2 ≤ x ≤ 2 with x ∈ ℤ, giving {−2, −1, 0, 1, 2}. The endpoints are included because the inequality is non-strict, and 0² = 0 ≤ 4.
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