Exercise · ZW-CONSTRUCTION-OF-THE-NATURALS-009 · ★★★ Advanced Let \(A=\{x\in\mathbb{N}: x\ne 0\}\). Which statement correctly shows that \(A\) is not inductive? Choose one option. A\(A=\mathbb{N}\) because every natural is nonzeroB\(0\in A\) fails, so \(A\) does not contain zero and is not inductiveC\(1\in A\) implies \(0\in A\), so \(A\) is inductiveD\(A\) contains \(1\) but not \(0\), and therefore is inductive Show answerB. \(0\in A\) fails, so \(A\) does not contain zero and is not inductive ← Back to the question