Solution for Section 2.1 Question 4

4. a) The negation of "" x Z, x is even'' is $ x Z such that x is not even. The negation is the true statement since 3 is an integer which is not even. Note that the negation could also have been written as $ x Z such that x is odd.

b) The negation of "$ y R such that y² < 0'' is  " y R, y² 0. The negation is the true statement since the square of any real number is always non-negative.

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