A = (0, 1)2 = (0, 1) (0, 1) = {(x, y) R R
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Question:
A = (0, 1)2 = (0, 1) × (0, 1) = {(x, y) ∈ R × R | 0 < x < 1 and 0 < y < 1}
B = {(x, y) ∈ R × R | x2 + y2 < 1}.
(a) Prove that A ∩ B ̸= ∅.
(b) Prove that A is not a subset of B
(c) Prove that B is not a subset of A.
Expert Answer:
Related Book For 
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
