The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.
A. {1}, {2, 4}
B. {1}, {1, 2, 3}
C. {1}
D. {1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}
Answer:C
The inclusion of ______ sets into R = {{1, 2}, {1, 2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 2, 3, 4, 5}} is necessary and sufficient to make R a complete lattice under the partial order defined by set containment.
A. {1}, {2, 4} B. {1}, {1, 2, 3} C. {1} D. {1}, {1, 3}, {1, 2, 3, 4}, {1, 2, 3, 5}