Proficiency Redos Proficiency #7. [Counterexamples] For each of the two following statements, give a counterexample to show that the state- ment is false. a. (Vr e R)((r > 0) → (x³ > x²)). b. If n e...


Proficiency Redos<br>Proficiency #7. [Counterexamples]<br>For each of the two following statements, give a counterexample to show that the state-<br>ment is false.<br>a. (Vr e R)((r > 0) → (x³ > x²)).<br>b. If n e Z, then there exists m e Z such that n = m² mod 3.<br>

Extracted text: Proficiency Redos Proficiency #7. [Counterexamples] For each of the two following statements, give a counterexample to show that the state- ment is false. a. (Vr e R)((r > 0) → (x³ > x²)). b. If n e Z, then there exists m e Z such that n = m² mod 3.

Jun 04, 2022
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