If R is the set of all real numbers, what do the cartesian products `R xx R and R xx R xx R` represent?

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

Show that the function f : R rarr R , defined by f(x) =1/x is one - one and onto , where R is the set of all non - zero real number . is the result true, if the domain R is replaced by N with co-domain being same as R ?

If R = set of real number and Q = set of rational number then R - Q = …….

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a , b)R(c , d) a d(b+c)=b c(a+d)dot Check whether R is an equivalence relation on NxNdot

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be the set of real numbers. If f: R to R ;f(x)=x^2 and g: R to R ;g(x)=2x+1 . Then, find fog and gof . Also, show that fog!=gofdot

Let R be the set of real numbers. Statement-1 : A""=""{(x ,""y) in R""xx""R"":""y-x is an integer} is an equivalence relation on R. Statement-2 : B""=""{(x ,""y) in R""xx""R"":""x""=ay for some rational number a} is an equivalence relation on R.

There are two sets A and B each of which consists of three numbers in GP whose product is 64 and R and r are the common ratios sich that R=r+2 . If (p)/(q)=(3)/(2) , where p and q are sum of numbers taken two at a time respectively in the two sets. The value of r^(R)+R^(r) is