Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and …

Question

Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?

Accepted Answer

D. No — A = {−2, −1, 0, 1, 2}; B = {1, 2}

A: integers with n² ≤ 4 → n ∈ {−2, −1, 0, 1, 2}.
B: x² − 3x + 2 = (x − 1)(x − 2) = 0 → x = 1, 2 (both real).
0 ∈ A but 0 ∉ B, so A ≠ B.

Answer

Yes, both equal {−2, −1, 0, 1, 2}

Answer

Yes, both equal {1, 2}

Answer

No — A = ∅; B = {1, 2}

Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?