The inclusion of which of the following sets into
S {{i, 2} , {1, 2, 3}, {1, 3, 5} , {1, 2, 4} , {1, 2,3,4, 5}}
is necessary and sufficient to make S a complete lattice under the partial order
defined by set containment?
(a) {1}
(b) {1},{2,3}
(c) {1},{1,3}
(d) {1},{1,3},{1,2,3,4},{1,2,3,5}