1. State whether the following statements are true or false (a) 12+4=7-16 is a proposition. (b) The AND operation of two propositions p and q denoted by p q is true if both propositions are not true. (c) In Boolean algebra, i-i. d) Boolean algebra simplifies logic circuits. (e) The nested quantifier with real numbers z, y, YyP(x,y), where P(x,y) : x + y = 0, is true. (f) If Q(x,y) : x +y = x-y with domain consists of all integers, then 0(x, 2) is False