let A={3C1, 3C2, 3C3 } and a relation R on AXA.
give examples for
Answers
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈/
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈/R
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈/R(iii) Consider the relation R={(a,a),(b,b),(c,c),(a,b)} on A.
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈/R(iii) Consider the relation R={(a,a),(b,b),(c,c),(a,b)} on A.Here R is reflexive and transitive but not symmetric.
(i) Consider the relation R={(a,a),(a,b),(b,a),(c,b),(b,b),(c.c)} on A.Here, R is relation which is reflexive and symmetric but not transitive.(a,b)∈R and (b,c)∈R but (a,c)∈R(ii) Consider the relation R={(a,a),(a,b),(b,a),(b.b)} on A.Here R is symmetric and transitive but not reflexive.(c,c)∈/R(iii) Consider the relation R={(a,a),(b,b),(c,c),(a,b)} on A.Here R is reflexive and transitive but not symmetric.(a,b)∈R but (b,a)∈/R
A×A is Step 1: Find A×A.
Given- A={}
n=3
A×A = {}
They cointains 9 elements.