Which of the following statements is true?
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: B. The set inclusion relation ⊆ is a partial ordering on the power set of a set S
Explanation
⊆ is reflexive, antisymmetric and transitive. (Z, ≤) is total; ≠ isn't reflexive; the graph (loops on a and b plus a → b) is a partial order.
More Discrete Structures and Optimisation questions
- Which of the following is an equivalence relation on the set of all functions from Z to Z?
- Which of the relations on {0, 1, 2, 3} is an equivalence relation ?
- Match the following in List - I and List - II, for a function f :
- If Aᵢ = {−i, …, −2, −1, 0, 1, 2, …, i}, then ⋃ᵢ₌₁^∞ Aᵢ is
- The equivalence of ¬∃x Q(x) is
- Digital data from a sensor can fill 0 to 32 buffers. Let the sample space be S = {0, 1, 2, …, 32}, where j means j buffers are full, and p(…