3. The statement "3x E Z such that ¢ Q" is clearly false, but the statement "3x ER such that x 4 Q" is true. This shows that the domain of the quantifier matters. Now, give your own sim- ple example...


3. The statement

Extracted text: 3. The statement "3x E Z such that ¢ Q" is clearly false, but the statement "3x ER such that x 4 Q" is true. This shows that the domain of the quantifier matters. Now, give your own sim- ple example for the predicate P(x) such that "x E Z such that P(x)" is false but “x E R such that P(x)" is true. Avoid very similar predicates like "x ¢ Z" or "2x ¢ Q" as your answer.2

Jun 03, 2022
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