Consider the following conditional statement for a natural number n:   If n is composite and even, then √n is not a rational number (a) Write the contrapositive of the original statement: (b) Write the negation of the original statement: (c) Give an example of a natural number n such that n is composite, even, and √n is not a rational number. Show that each of these properties hold for your particular value of n by appealing to definitions. Do not simply provide a value of n with no justification

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Statements and Logic

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