MATH 211 Drop Quiz Chapter 1(4), Fall 2011
American University of Beirut · Discrete Structures · 1 page
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AMERICAN UNIVERSITY OF BEIRUT
Faculty of Arts and Sciences - Mathematics Department
Fall 2011 - 2012
Checkpoint 1
Name:...............................................
Determine the truth value of these statements if the domain of each variable consists of all real
numbers. Justify your answer.
a) ∀x∃y(x2 = y)
b) ∀x∃y(x = y2)
c) ∃x∃y(x + y = (x + y)/2)
a) ∀x∃y(x + y = 2 ∧ 2x − y = 1)