If `R={(a,b)//|a+b|=a+b}` is a relation defined on a set (-1,0,1) then – InterviewSolution

InterviewSolution

1.	If `R={(a,b)//\|a+b\|=a+b}` is a relation defined on a set (-1,0,1) then R is____A. reflexiveB. symmetricC. anti symmetricD. transitive.
Answer» Correct Answer - B (i) Verify the reflexive symmetric and transitive properties of relations. (ii) R={(0,0),(1,1),(1,-1),(01,1),(0,1),(1,0)}. (iii) Check which properties does R satisfy

Discussion

No Comment Found

Related InterviewSolutions

If `C subY` and `Y subX`, then_____
If `P=(1,2,3,4,5,6,7)` and `Q=(2,5,8,9)`, then find `P cup Q`.
Consider the following statements. `p:3 in(1,(3),5,7)` `q, 2 in(1,(3,4),4)` Which of the following is true?A. p aloneB. q aloneC. Both p and qD. Neither p nor q.
If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)}` isA. reflexive.B. symmetricC. transitive.D. equivalence.
If `A={n:(n^(3)+5n^(2)+2)/(n)` is an integer and n itself is an integer}, then the number of elements in the set A isA. 1B. 2C. 3D. 4
If `A=(1,2,3)` and `B=(2,6,7)`, then `(A-B)cup(B-A)=`A. `phi`B. `mu`C. `(1,2,3,6,7)`D. `(1,3,6,7)`
Which of the following cannot be the cardinal number of the power set of any finite set?A. 26B. 32C. 8D. 16
If `n(A)=8` and `n(B)=6` and the sets A and B are disjoint, then find `n(AcupB)`.
The cardinal number of a set is 5. find the cardinal number of the power set.
A relation `R:Zrarr2` is such that `R={(x,y)//y=2x+1)` is aA. one to one relation.B. many to one relation.C. one to many relation.D. many to many relation.