Write negations, contrapositives, converse and in- verse for each of the following statements if today is New Year’s Eve, then tomorrow is not February
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Write the negation, contrapositive, converse, and inverse for the following statement. (Assume that all variables represent fixed quantities or entities, as appropriate.) (a) Negation: If today is not New Year's Eve, then tomorrow is not January. (b) Contrapositive: If tomorrow is not January, then today is not New Year's Eve. (c) Converse: If tomorrow is January, then today is New Year's Eve. (d) Inverse: If today is not New Year's Eve, then tomorrow is January.
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Discrete Math For each of the following statements, write the negation, the contrapositive, the inverse, and the converse. (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 n is prime, then n is odd or n is 2.
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8. (14 points) Write negations for each of the following sentences by using the equivalence ~(p → q) ≡ p ∧ ~q and De Morgan's laws. (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 a rational number. (d) If n is a prime, then n is odd or n is 2. (e) If x is nonnegative, then x is positive or x is 0.
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