1) Let x,y, and z be real numers...prove the following

a) (-x)*y = -(xy) and (-x)*(-y) = xy

c) if x is not equal to 0, then (1/x) is not equal to zero and 1/(1/x) = x

d) if x>1, then x^2>x

e) if 0<x<1, then x^2<1

2) prove this

if x >=0 and x<= E for all E > 0, then x = 0