The notation ! is read "there exists a unique." It means there exists one and only one such object. Write each of the following claims in English and explain whether it is true or false. 1)3!x E N such that x is an even number and x is a prime number. _2) 3!x E R such that V y E R, xy = y. .3) Vx E R, 3!y E R such that xy = 0.

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A: GivenP(B)=14P(A∪B)=12P(A|B)=23

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.