Let D E = [0,1] = {x|0 ≤ x ≤ 1). Answer each of the following.
a. Let A be the statement "Ex E D such that Vy E E, xy = 1." Write its formal negation ~A.
b. Which is true, A or ~A?
c. For whichever is the false statement (A or ~A), explain why it is false.
d. Let B be the statement "∀x ∈ D, y ∈ E such that x + y = 1." Write its formal negation ~B.
e. Which is true, B or ~B?
f. For whichever is the false statement (B or ~B), explain why it is false.