59 9.59.a. Let (a][b] E Zs. If [a] · [b] = [0], does it follow that [a] = [0] or [b] = [0]?b. How is the question in (a) answered if Zg is replaced by Zg? by Z10? by Z11?c. For which integers n > 2 is the following statement true? (You are only asked to make a conjecture, not toprovide a proof.) Let [a], [b] € Zn, n > 2. If [a] · [b] = [0], then [a] = [0] or [b] = [0].%3D

Name: 59 9.59.a. Let (a][b] E Zs. If [a] · [b] = [0], does it follow that [a
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Description: 59 9.59.a. Let (a][b] E Zs. If [a] · [b] = [0], does it follow that [a] = [0] or [b] = [0]?b. How is the question in (a) answered if Zg is replaced by Zg? by Z10? by Z11?c. For which integers n > 2 is the following statement true? (You are only asked

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9.59. a. Let (a][b] E Zs. If [a] · [b] = [0], does it follow that [a] = [0] or [b] = [0]? b. How is the question in (a) answered if Zs is replaced by Zg? by Z10? by Z11? c. For which integers n 2 2 is the following statement true? (You are only asked to make a conjecture, not to provide a proof.) Let [a], [b] E Zn, n > 2. If [a] · [b] = [0], then [a] = [0] or (b] = [0]. %3D