9. Let D = E= [0,1] = {x|0 x 1}. Answer each of the following. a....

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9. Let D = E= [0,1] = {x|0 x 1}. Answer each of the following. a. Let A be the statement "3x 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 "Vx E D, 3y E 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. 9. Let D = E= [0,1] = {x|0 x 1}. Answer each of the following. a. Let A be the statement "3x 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 "Vx E D, 3y E 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.