• Negate the following statements: 1- For all positive integer n, ifn is odd then 5n is even. 2- There exist integers a, b,c,d such that alb and cld but ac + bd. 3- For all integers a, b, c, if aſb then ac|bc. 4- For all integer n there exists an integer m such that, ifn is even then (nm)? is even 5- There exists an integer n such that for all integer k, ifk is divisible by n then (k)" is divisible by (n). 6- There exists a real valued function f and a number ε > 0 such that for all x, y E R, it is the case that If (x) - f6) < . 7- For every real valued functions f. g. [Ve > 0) (f(x) – g(x) <£- f(x) = g(x)] 8- [VE > 0) (Ek > 0) (x >k-! <]