(a) Write down the negation of the following statement. For all integers $n$, if $n$ is odd then ($n^2 + 4$) is prime (b) Use a counterexample to prove the statement in part (a) is false.
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Step 1: The negation of the statement "For all integers n, if n is odd then (n² + 4) is prime" is "There exists an integer n such that n is odd and (n² + 4) is not prime". Show more…
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