Sets Questions

Solution : A = [x: x $\in$ R,-1 < x < 1] B = [x : x $\in$ R, x – 1 $\le$ -1 or x – 1 $\ge$ 1] [x: x $\in$ R, x $\le$ 0 or x $\ge$ 2] $\therefore$ A $\cup$ B = R – D where D = [x : x […]

Solution : $x^2$ = 16 $\implies$ x = $\pm$4 2x = 6 $\implies$ x = 3 There is no value of x which satisfies both the above equations. Thus, A = $\phi$ Similar Questions If A = {x,y}, then the power set of A is If aN = {ax : x $\in$ N}, then the

Solution : R = {(2, 4), (4, 3), (6, 2), (8, 1)} $R^{-1}$ = {(4, 2), (3, 4), (2, 6), (1, 8)} Similar Questions If A = {x,y}, then the power set of A is If aN = {ax : x $\in$ N}, then the set 6N $\cap$ 8N is equal to Let A =

Solution : (A $\cap$ B) = {4} and (A $\cup$ B) = {2, 3, 4, 5} $\therefore$ (A $\cap$ B) $\times$ (A $\cup$ B) = {(4, 2), (4, 3), (4, 4), (4, 5)} Similar Questions If A = {x,y}, then the power set of A is If aN = {ax : x $\in$ N}, then