Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Discrete math: please correctly

Answer the following questions about the relations given.
(a) Let A be the set of all rectangles and let R be the relation on A where (z,y) = R if and only if rectangles and y have the same
area.
Is R an equivalence relation?
A. Yes
B. No
OC. Not enough information given
(b) Let A be the set of all rectangles and let R be the relation on A where (z,y) = R if and only if rectangles and y share at least one
dimension (length or width).
Is R an equivalence relation?
A. Yes
B. No
OC. Not enough information given
(c) Let A be the set of all triangles and let R be the relation on A where (z,y) = R if and only if triangles and y have two angles in
common.
Is R an equivalence relation?
A. Yes
B. No
OC. Not enough information given
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Transcribed Image Text:Answer the following questions about the relations given. (a) Let A be the set of all rectangles and let R be the relation on A where (z,y) = R if and only if rectangles and y have the same area. Is R an equivalence relation? A. Yes B. No OC. Not enough information given (b) Let A be the set of all rectangles and let R be the relation on A where (z,y) = R if and only if rectangles and y share at least one dimension (length or width). Is R an equivalence relation? A. Yes B. No OC. Not enough information given (c) Let A be the set of all triangles and let R be the relation on A where (z,y) = R if and only if triangles and y have two angles in common. Is R an equivalence relation? A. Yes B. No OC. Not enough information given
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