Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C. Which one of the following alternatives is needed to make R transitive and irreflexive? Select one: O a. Add the ordered pairs (1, d) and (e, d), and remove ordered pairs (1, 1) and (3, 3). O b. Add the ordered pair (d, 1) and remove ordered pairs (1, 1) and (3, 3). O c. Add the ordered pair (1, d), (d, d) and (e, e). d. Add the ordered pair (d, d) and (e, e).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 12

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Let C = {1, 3, d, e}.
Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C.
Which one of the following alternatives is needed to make R transitive and irreflexive?
Select one:
O a. Add the ordered pairs (1, d) and (e, d), and remove ordered pairs (1, 1) and (3, 3).
b. Add the ordered pair (d, 1) and remove ordered pairs (1, 1) and (3, 3).
O c. Add the ordered pair (1, d), (d, d) and (e, e).
d. Add the ordered pair (d, d) and (e, e).
Transcribed Image Text:Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C. Which one of the following alternatives is needed to make R transitive and irreflexive? Select one: O a. Add the ordered pairs (1, d) and (e, d), and remove ordered pairs (1, 1) and (3, 3). b. Add the ordered pair (d, 1) and remove ordered pairs (1, 1) and (3, 3). O c. Add the ordered pair (1, d), (d, d) and (e, e). d. Add the ordered pair (d, d) and (e, e).
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