Please can you help me with this with a good explanation? Thank you

3. (8 marks) For each of the questions below, provide a 'yes' or 'no' answer. If your an- swer is 'no', then provide an example and use it to demonstrate why the answer is 'no'. (a) Is the set of negative integers closed under subtraction? (In other words, if you subtract two negative integers, will the result always be a negative integer?) (b) Let A be the set {1,2,3,6}. Is A closed under multiplication? (c) Let X = {...,-8, -6, -4, -2,0,2, 4, 6, 8, ... } be the set of all even integers. Is X closed under addition? (a) Let Y = {2,4,6,8,... } be the set of all positive even integers. Is Y closed under division? (e) Let Z = {-1,0,1}. Is Z closed under multiplication