A set may be given a name or symbol. Italicized upper case letters (e.g. A, B, X, Y) are often used to represent sets. Double-struck upper case letters represent particular sets. Q5. Closure Z represents the set of all integers. Z = {i :i is an integer = { ..., -2, -1,0, 1, 2, ...} a. Consider the following operation. Its domain is z (x) = Vx Decide whether the operation is closed or not. Z* represents the set of all positive integers. z* = {i: iez, >0} = {1, 2, 3, ... } Show the operation as it is shown above and state your decision as to its closure. If you believe the operation is not closed give one example of an input value that produces an output value outside the domain. The following is a hypothetical example of an answer (which may or may not be correct) z represents the set of all negative integers. Z = {i: iez, i0} = {0, 1, 2, ...) = Z - Z A set may be given a name or symbol. Italicized upper case letters (e.g. A, B, X, Y) are often used to represent sets. Double-struck upper case letters represent particular sets. Q5. Closure Z represents the set of all integers. Z = {i :i is an integer = { ..., -2, -1,0, 1, 2, ...} a. Consider the following operation. Its domain is z (x) = Vx Decide whether the operation is closed or not. Z* represents the set of all positive integers. z* = {i: iez, >0} = {1, 2, 3, ... } Show the operation as it is shown above and state your decision as to its closure. If you believe the operation is not closed give one example of an input value that produces an output value outside the domain. The following is a hypothetical example of an answer (which may or may not be correct) z represents the set of all negative integers. Z = {i: iez, i0} = {0, 1, 2, ...) = Z - Z