{"id":6860,"date":"2021-10-21T21:13:47","date_gmt":"2021-10-21T15:43:47","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6860"},"modified":"2021-10-25T02:32:13","modified_gmt":"2021-10-24T21:02:13","slug":"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","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/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\/","title":{"rendered":"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."},"content":{"rendered":"
R = {(2, 4), (4, 3), (6, 2), (8, 1)}<\/p>\n
\\(R^{-1}\\) = {(4, 2), (3, 4), (2, 6), (1, 8)}<\/p>\n
If A = {x,y}, then the power set of A is<\/a><\/p>\n If aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to<\/a><\/p>\n 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<\/a><\/p>\n The set A = [x : x \\(\\in\\) R, \\(x^2\\) = 16 and 2x = 6] equal<\/a><\/p>\n