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 denotes the set of all real numbers than the function f : R rarr R defined by f(x) = |\x |

If R denotes the set of all real numbers then the function f: RtoR defined f(x) = |x|

If p, q, r are real numbers then:

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

Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab gt 0 } on S is :

Let R be the set of all real numbers. A relation R has been defined on R by aRb hArr |a-b| le 1 , then R is

Let R+ be the set of all non-negative real numbers. Show that the function f : R+ rarr [ 4 ,oo ] given by f(x) = x^(2) + 4 is invertible and write the inverse of f.

Let S be the set of all real numbers. A relation R has been defined on S by a Rb rArr|a-b| le 1 , then R is

R is a relation over the set of real numbers and it is given by mn ge 0 . Then R is :

If R, is the set of all non-negative real numbers prove that the f : R, to [-5, oo) defined by f(x) = 9x^(2) + 6x - 5 is invertible. Write also f^(-1)(x) .