Questions
Let R be the relation on the set of all real numbers defined
a
Reflexive and symmetric
b
Symmetric only
c
Tiansitive only
d
Anti-symmetric only
detailed solution
Correct option is A
For any real number a, a-a≤1, so that (a,a) is an element of relation , for any real number aHence, R is reflexive Suppose that (a,b) ∈R it implies that a-b≤1 hence, b-a≤1 Therefore, (b,a) also an eloement in the relation So R is symmetric but R is not transitive becasue ( -12,0)∈R, (0,1) ∈R does not implies that -12,1 ∈RTalk to our academic expert!
Similar Questions
Let X be a family of set and R be a relation on X defined by ‘A is disjoint from B’. Then R is
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