Define the relation R on set A as follows: xR y if and only if { x, y} C A or {x, y} c A, or {x,y} < A. That is, x R y if and only if x and y are both in A, or x and y are both in A2 or x and y are both in A3. Circle statements which are true and cross out statements which are false. 4 R 6 1R 4 4 R6 1R 6 3R 3 hint: {3, 3} = {3}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A={1,2,3,4,5,6} and consider the following 3 subsets of A. A = {1,3,5}; A2 =
Let
{2, 4, 6}; A3 = {3, 6}.
Transcribed Image Text:A={1,2,3,4,5,6} and consider the following 3 subsets of A. A = {1,3,5}; A2 = Let {2, 4, 6}; A3 = {3, 6}.
Define the relation R on set A as follows: xR y if and only if {x, y} CA, or {x,y}C A, or {x, y}C A,. That is,
x R y if and only if x and y are both in A, or x and y are both in A2 or x and y are both in A3.
Circle statements which are true and cross out statements which are false.
4 R 6
1R 4
4 R6
1R 6
3 R 3
hint: {3, 3} = {3}
Transcribed Image Text:Define the relation R on set A as follows: xR y if and only if {x, y} CA, or {x,y}C A, or {x, y}C A,. That is, x R y if and only if x and y are both in A, or x and y are both in A2 or x and y are both in A3. Circle statements which are true and cross out statements which are false. 4 R 6 1R 4 4 R6 1R 6 3 R 3 hint: {3, 3} = {3}
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