Consider the following sentence: For all integers z, there exists an integer y such that (y-3)...

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Consider the following sentence: "For all integers z, there exists an integer y such that (y-3) (52) is equal to zero." 1. Write the above sentence as a quantified statement. Make sure to clearly define/indicate the predicate, domain and/or any other notation used. 2. Negate the quantified statement and write it in both formal symbolic logic and as an English sentence. 3. Which one is true - the original, or the negated statement? Briefly justify your answer. Consider the following sentence: "For all integers z, there exists an integer y such that (y-3) (52) is equal to zero." 1. Write the above sentence as a quantified statement. Make sure to clearly define/indicate the predicate, domain and/or any other notation used. 2. Negate the quantified statement and write it in both formal symbolic logic and as an English sentence. 3. Which one is true - the original, or the negated statement? Briefly justify your answer.

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