the relation R in the set R of real numbers, defined as R=(a,b):a≤b2  is

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 transitive