The relation R = {(a, b) : a ≥ b} on the set of real numbers is
Tap an answer to check.
Show the answer
Answer: A. reflexive and transitive but not symmetric
a ≥ a holds; a ≥ b and b ≥ c give a ≥ c; but 5 ≥ 2 while 2 ≥ 5 is false.
Practice now
More questions like this
- R = {(a, b) : b = a + 2} on the set {1, 2, 3, 4, 5}. Is R transitive?
- On the set {1, 2, 3}, the relation R = {(2, 3), (3, 2)} is
- R = {(a, b) : |a − b| is even} is an equivalence relation on {1, 2, 3, 4, 5, 6}. The set of all elements related to 2 is
- A relation R on A = {1, 2, …, 12} is R = {(x, y) : 2x − y = 0}. Which statement is true?
- On A = {0, 1, 2, …, 10}, R = {(a, b) : |a − b| is a multiple of 3}. The elements related to 1 are
- R = {(T₁, T₂) : T₁ is similar to T₂} on triangles. Triangles P (sides 3, 4, 5), Q (6, 8, 10) and S (5, 12, 13): which p…