Let R be as usual the set of all real numbers Express in wor

Let R be as usual the set of all real numbers. Express in words what these statements mean and determine whether they are true or not. Do not give proofs; just decide on the meaning and whether you think they are valid or not. (a) x R, x Greaterthanorequalto 0 (b) x R, x Greaterthanorequalto 0 (c) x R, x^2 Greaterthanorequalto 0 (d) x R, y R, x + y = 1 (e) x R, y R, x + y = 1 (f) x R, y R, x + y = 1 (g) x R, y R, x + y = 1

Solution

Meaning True or false

a) For all non negative values of real numbers False

b) There exists non negative values of real numbers True

c) For all real values, square is always positive True

d) For all x,y in R, x+y =1 False

e) For all real x there is a real y such that x+y =1 True

f) There exists a real x for all real y such that x+y =1 True

g) There exist x and y in reals such that x+y =1 True