Question: a) Write the negation for the following statement and then use a counterexample to disprove the given statement. i. For every integer k, if k

a) Write the negation for the following statement and then use

a) Write the negation for the following statement and then use a counterexample to disprove the given statement. i. For every integer k, if k is odd then 2k1 is odd. (4 Marks) ii. For every integer k, if k is prime then k21 is even. (4 Marks) iii. For every integers p and q, if 5(p+q) then 5(pq). (4 Marks)

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