True or False:
`Q nn R = Q`, where Q is the set of rational numbers and R is the set of real numbers.

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

For the given relation R on a set S, determine which are equivalence relations : (i) S is the set of all rational numbers a R b iff a= b. (ii) S is the set of all real numbers iff : (I) |a |= |b| (II) a ge b .

True/false pi is a rational number.

Let A = Q xx Q , where Q is the set of all rational numbers and * be a binary operaton on A defined by (a,b) * (c,d) = (ac, ad+b) for all (a,b), (c,d) in A. Then find the identify element of * in A.

True or False R.Q. for malic acid is less than one.

True/false Every whole number is a rational number.

Which of the following functions have their range equal to R(the set of real numbers)?

Let * be a binary operation defined on Q, the set of rational numbers, as follows: a*b = a-b, for a , b in Q. Find which of the binary operations are commutative and which are associative.

Let * be a binary operation defined on Q, the set of rational numbers, as follows: a*b =a+ab, for a, b in Q.Find which of the binary operations are commutative and which are associative.

Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=a-b find is it associative?