The identity of a binary operator ⋄ is a value i such that, for any x, the expressions {x, x ⋄ i, i ⋄ x} are all equivalent. The zero of ⋄ is a value z such that, for any x, the expressions {z, x ⋄ z,...

The identity of a binary operator ⋄ is a value i such that, for any x, the expressions {x, x ⋄ i, i ⋄ x} are all equivalent. The zero of ⋄ is a value z such that, for any x, the expressions {z, x ⋄ z, z ⋄ x} are all equivalent. For an example from arithmetic, the identity of + is 0, because x + 0 = 0 + x = x for any number x. And the zero of multiplication is 0, because x 0 = 0 x = 0 for any number x. For each of the following, identify the identity or zero of the given logical operator. Justify your answer. Some operators do not have an identity or a zero; if the given operator fails to have the stated identity/zero, explain why it doesn’t exist.