MATH*2000 Fall 2012 – Lab #3Thursday, September 27Problem 0.1.An identity for an operation·(such as addition of numbers, or intersectionof sets etc.) is an object i so that, for all objectsx,i·x=x·i=x. Find, identities for theoperations set union and set intersection, that is find setsI1andI2such thatI1∪A=Aforall setsA(in a given universe), andI2∩A=Afor all setsA(in a given universe).