Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appropriate.)a. If P is a square, then P is a rectangle.b. If today is New Year’s Eve, then tomorrow is January.c. If the decimal expansion of r is terminating, then r is rational.d. If n is prime, then n is odd or n is 2.e. If x is nonnegative, then x is positive or x is 0.f. If Tom is Ann’s father, then Jim is her uncle and Sue is her aunt.g. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

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A: We solve (c) by using contradiction method :

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A: To find : the negation of the statement       0>x≥-8

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Statements and Logic

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