Answer to Question #250770 in Discrete Mathematics for Nath

Question #250770

For integers π‘₯ and 𝑦, consider the proposition βˆƒπ‘₯βˆ€π‘¦ (π‘₯ + 𝑦 = 10). Is the proposition true, false, or does it depend on the values of π‘₯ and 𝑦?


1
Expert's answer
2021-10-14T05:25:55-0400

The proposition "\u2203\ud835\udc65\u2200\ud835\udc66 (\ud835\udc65 + \ud835\udc66 = 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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