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Discrete Math
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The notation ∃!xP(x) denotes the proposition "There exists a unique x such that P(x) is true." If the universe of discourse is the set of integers, what are the truth values of the following? 1. ∃!x(x>1) 2. ∃!x(x2=1) 3. ∃!x(x+3=2x) 4. ∃!x(x=x+1) What I got was: 1. F 2. T 3. T 4. F but one of them isn't correct and I'd like to understand why
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