A sublattice(say, S) of a lattice(say, is a convex sublattice of L if _________
A. x>=z, where x in S implies z in S, for every element x, y in L
B. x=y and y<=z, where x, y in S implies z in S, for every element x, y, z in L
C. x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L
D. x=y and y>=z, where x, y in S implies z in S, for every element x, y, z in L
Answer:C
A sublattice(say, S) of a lattice(say, is a convex sublattice of L if _________
A. x>=z, where x in S implies z in S, for every element x, y in L B. x=y and y<=z, where x, y in S implies z in S, for every element x, y, z in L C. x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L D. x=y and y>=z, where x, y in S implies z in S, for every element x, y, z in L
Explanation: A sublattice S of a lattice L is a convex sublattice of L, if x ≤ z ≤ y and x, y in S implies that z belongs to S, for all elements x, y, z in L.