Consider the following quantified statement:vx € Z [(x² ≥ 0) v (x² + 2x-8>0)]Which one of the alternatives provides a true statement regarding the given statement or its negation?a. The negation 3x € Z [(x² < 0) v (x² + 2x - 8 ≤ 0)] is not true.O b. x = -3 would be a counterexample to prove that the negation is not true.O c. x = -6 would be a counterexample to prove that the statement is not true.O d. The negation 3 € [(x² < 0) (x² + 2x - 8 ≤ 0)] is true.AQuestion 16

given statement ∀x∈ℤx2≥0∨x2+2x-8>0 its negation would be ∃x∈ℤx2<0∧x2+2x-8≤0

Consider the following quantified statement: vxZ [(x²20) v (x²+2x-8>0)] Which one of the alternatives provides a true statement regarding the given statement or its negation? a. The negation 3x € Z [(x² < 0) v (x² + 2x-8 ≤ 0)] is not true. b. x = -3 would be a counterexample to prove that the negation is not true. c. x = -6 would be a counterexample to prove that the statement is not true. O d. The negation 3x € Z [(x² < 0) (x² + 2x-8 ≤ 0)] is true.

Consider the following quantified statement: vxZ [(x²20) v (x²+2x-8>0)] Which one of the alternatives provides a true statement regarding the given statement or its negation? a. The negation 3x € Z [(x² < 0) v (x² + 2x-8 ≤ 0)] is not true. b. x = -3 would be a counterexample to prove that the negation is not true. c. x = -6 would be a counterexample to prove that the statement is not true. O d. The negation 3x € Z [(x² < 0) (x² + 2x-8 ≤ 0)] is true.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 10TFE

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