Let `A = [x:x in R, |x| < 1]; B = [x : x in R, |x-1|>=1] and A uu B = R-D`, then the set D is

Let A={x:x in R,-1 =2} and A uu B=R-D then the set D is

Let P = { x : x in R , |x| Q = {x:x in R , |x -1 |ge 2} P uu Q = R - S then set S is : (where R is the set of real number)

Let P = { x : x in R , |x| Q = {x:x in R , |x -1 |ge 2} P uu Q = R - S then set S is : (where R is the set of real number)

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for some set X, show that A = B. (Hints A = A nn (A uu X) , B=B nn (B uu X) and use Distributive law )

Let A={x in R : |x+1| = |x|+1} and B ={x in R : |x-1| = |x|-1} , Then