Solution to For integers 𝑥 and 𝑦, consider the proposition ∃𝑥∀𝑦 (𝑥 + 𝑦 = 10). Is … - Sikademy
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Archangel Macsika

For integers 𝑥 and 𝑦, consider the proposition ∃𝑥∀𝑦 (𝑥 + 𝑦 = 10). Is the proposition true, false, or does it depend on the values of 𝑥 and 𝑦?

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The proposition ∃𝑥∀𝑦 (𝑥 + 𝑦 = 10) is false because of for any integer number x there exists the integer number y=-x such that x+y=x-x=0\ne 10.


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