7. (Chapter 9, #12) Prove or disprove: If a, b, c e N, and ab, bc and ac all have the same parity, then a, b and c all have the same parity.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Exercise 7 (Chapter 9, #12):**

**Problem Statement:**

Prove or disprove: If \(a, b, c \in \mathbb{N}\), and \(ab\), \(bc\), and \(ac\) all have the same parity, then \(a\), \(b\), and \(c\) all have the same parity.
Transcribed Image Text:**Exercise 7 (Chapter 9, #12):** **Problem Statement:** Prove or disprove: If \(a, b, c \in \mathbb{N}\), and \(ab\), \(bc\), and \(ac\) all have the same parity, then \(a\), \(b\), and \(c\) all have the same parity.
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