Two sets A and B are as under `A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt 1} B=[(a,b) in Rxx R:4(a-6)^2+9(b-5)^2 le 36} Then:`

If A ={x:x in R, x lt 5} and B={x:x in R, x gt 4} , find A cap B .

Let R={(a,b) :a,b in N and b=a+5,a lt4}. find the domain and range of R.

Let R be the relation in the set N given by R = { (a,b), a - b = 5, a le 6}. Then :

Let A={1,2,3,4} and B={5,7,8,9} be two sets and the relation R from A to B be defined as R={(a,b)in A times B:|a-b| is an even number } .Then the number of elements in the relation R is

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

Let R be a relation on a set A = {1,2,3,4,5} defined as R = { (a,b) : | a ^(2) - b ^(2)| lt8}. Then the reation R is

If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R hArr a lt b, then Ro R ^(-1) is

Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x + 6)} = 1 and B = {x in Z : -3 lt 2x - 1 lt 9} , then the number of subsets of the set A xx B is