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iheartducks

  • 2 years ago

Prove or disprove the following statements. If each statement is not true, salvage by making changes to the hypothesis: 1. If a∈ℤ, then a|a 2. If each of a,b and c is in ℤ, a|b and b|c, then a|c. 3. If each of a,b and c is in ℤ, a|b and a|c then a|(b+c)

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  1. vf321
    • 2 years ago
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    What does | mean?

  2. iheartducks
    • 2 years ago
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    "The statement that a divides b means there is an integer c such that b=ac." So for example: 4 | 12 ? , we would say yes, 3 because 12=4*3.

  3. vf321
    • 2 years ago
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    Is that the exact definition or does it rely on modulo? B/c then 0|0 is undef.

  4. iheartducks
    • 2 years ago
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    yeah thats the exact definition

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