Negate the following statements. Note that you do not have to understand them in

Question

Negate the following statements. Note that you do not have to understand them in order to do this and the negations do not have to be true. (A) Every cubic polynomial has a real root. (B) G is normal and H is regular. (C)?!0 such that ?x x + 0 = x. (D) The newspaper article was neither accurate nor entertaining. (E) If GCD(m, n) is odd, then m or n is odd. (F) H/N is a normal subgroup of G/N if and only if H is a normal subgroup of G. (G) For each  > 0 there exists N ? N such that ?n ? N, |an ? L| < .? (H) ?w with h(w)k(w) ? 0. (I) ?!z with f(z)g(z) > 0. (J) If you come to Dr Ed

Explanation / Answer

A) Every cubic polynomial does not has a real root..____B) H is not regular and G is not normal._____C) There does not exist any 0 such that ?x x + 0 = x.______D) The newspaper article was accurate and entertaining.____E) If GCD(m, n) is odd, then m or n even._______F) H/N is a normal subgroup of G/N if and only if H is not a normal subgroup of G._______G) For each ? > 0 there exists N ? N such that ?n ? N, |an ? L| > ?______J) If you come to Dr Ed

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