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 …

Let A = [x: x \(\in\) R, |x| < 1]; B = [x : x \(\in\) R, |x - 1| \(\ge\) 1] and A \(\cup\) B = R - D, then the set D is Read More »

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 …

The set A = [x : x \(\in\) R, \(x^2\) = 16 and 2x = 6] equal Read More »

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 = …

If N is a set of first 10 natural numbers and a relation R is defined as a + 2b = 10 where a, b \(\in\) N. find inverse of R. Read More »

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 …

If A = {2, 4} and B = {3, 4, 5} then (A \(\cap\) B) \(\times\) (A \(\cup\) B) Read More »