Unformatted text preview: p ( x ) has at least one root. (iii) A linearly independent set of vectors contains at most n vectors. 4. Rewrite each statement using the quantiﬁers ∀ and ∃ as appropriate. (i) If x is a real number, then e x is positive. (ii) An integer cannot be both even and odd. (iii) Given any prime number, there is another prime number that’s bigger. 5. Give a counterexample to each statement. (i) ( x3) 2 = x3 → x = 3. (ii) The product of two irrational numbers is irrational. 1...
View
Full Document
 Spring '08
 Staff
 Math, Rational number, Complex number

Click to edit the document details