Questions
the relation R in the set R of real numbers, defined as is
a
Reflexive
b
Symmetric
c
Transitive
d
none
detailed solution
Correct option is D
Given R=(a,b):a≤b2For 12,12∉R as 12>122Therefore, R is not reflexive Now, (1,4)∈R as 1<42 But, 4 is not less than 1 . Therefore, (4,1)∉R Therefore, R is not symmetric, Now, (3,2),(2,1.5)∈R (as 3<22=4 and 2<(1.5)2=2.25 ) But, 3>(1.5)2=2.25 Therefore, (3,1.5)∉RTherefore, R is not transitive. Hence, R is neither reflexive, nor symmetric, nor transitiveTalk to our academic expert!
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