(4) Indicate whether each statement is True (T) or False (F). If T, prove it directly. If F, provide a counterexample (a) Va,b e Z, if a² = b² then a = b (b) Vm E Z, if m > 2 then m² – 4 is composite (c) The difference of any two odd integers is even (d) The sum of any two rational numbers is a rational number

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Statements and Logic

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