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let p(x): x is an even integer and q(x): x is an odd integer

now according to statement 1:

Hypothesis: for all x (if x is even then x is odd) = FALSE

hence statement 1 is TRUE.

for statement 2:

Hypothesis: if some x is even then some x is odd =TRUE

Conclusion: for some x (if x is even then x is odd) = FALSE

hence statement 2 is FALSE

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