5.For real numbers x and y, we define x R y if x-y5 is an irrational number.The relation R is

x∈R ⇒x-x5=5 is an irrational number (x,x)∈R⇒R is reflexive(5 ,1)∈R because5-1 +25-1,which is an irrational number(1,5)∉R⇒R is not symmetric we have (5,1),(1,25)∈R because 5-1+5=25-1,if 1-25+5=1-5 are irrational numbersalso,(5,25)∈R and 5-25+5=0,which is not an irrational number(5,25)∉RR is not transtive