0 votes 0 votes C intersection P(C) != phir ?why? (phi is subset of every set)??? Mathematical Logic discrete-mathematics + – Angkit asked Oct 3, 2017 Angkit 317 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 0 votes 0 votes C is a set such that C={a, {a}} P(C)= {{ }, {a}, {{a}}, {a,{a}}} Now, C Intersection P(C) = {a} which is not empty set, hence above statement is correct. Manu Thakur answered Oct 3, 2017 selected Oct 3, 2017 by Angkit Manu Thakur comment Share Follow See all 4 Comments See all 4 4 Comments reply Angkit commented Oct 3, 2017 reply Follow Share By default , { } is subset of every set // Is a a wrong statement ? bcz according to this statement , {} is subset of C and P(C) . 0 votes 0 votes Manu Thakur commented Oct 3, 2017 reply Follow Share You didn't interpret the question correctly! they are not asking about the subset, but they are asking about the resulted set after intersection operation. Yes, { } is subset of each set, is a correct statement. 0 votes 0 votes Angkit commented Oct 3, 2017 i edited by Angkit Oct 3, 2017 reply Follow Share { } is subset of each set.Then C={a, {a}} is equivalent to C={{},a, {a}} NOw, P(C)= { {} ,{{ }}, {a}, {{a}}, ...... NOw, C intersection P(C) is phi ? 0 votes 0 votes Manu Thakur commented Oct 3, 2017 reply Follow Share C={a, {a}} is equivalent to C={{},a, {a}} Both are not equivalent as first set has 2 members and second set has 3 members. What all i can suggest you is, that you must read set theory from Keneath Rosen and solve given exercises in the book. 0 votes 0 votes Please log in or register to add a comment.