Determine whether each statement below is true or false give

Determine whether each statement below is true or false (give a brief expl. for your answer), and in each case, obtain the negation of the quantified statement. (a) ? a, b ? R, ? ab = ? a ? b (b) ? a ? [0,?), ? x ? R such that x 2 = a ? ?x 2 = a (c) ?a ? N, ? b, c ? N such that ab = c 3 (d) ?x ? Z such that ?y ? Z, y x ? Z

Solution

1. true, 2.false 3. false 4.true