What is reflexive symmetric transitive

Step 4 d) it's reflexive:For example symmetry states that if x r y, then it is true that y r x as well.Anirban sinha studied at associate member of institution of engineers author has 108 answers and 93.4k answer views 5 y relatedThus, r is reflexive, symmetric and transitive.The reflexive property states that for every real number x , x = x.

Step 3 c) it's not reflexive, not symmetric ( ( 1, 2) ∈ r but ( 2, 1) ∉ r, and not even transitive:| x | = | y | }.To see these more directly we can restate r = { ( x, y):Note that a r b and b r c means a, b and b, c have same sum, so a, c must have it too, and thus r is transitive.A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.

It's reflexive, symmetric and also transitive.3 x − y = 0}, is reflexive, symmetric and transitive.Determine whether the relation r in the set a = {1, 2, 3,., 1 3, 1 4} defined as r = {(x, y):For every real number x we have x ⋅ x ≥ 0.An example is the relation is equal to, because if a = b is true then b = a is also true.

But clearly sums are the same for a and a, so it is reflexive.If atleast one of the conditions, i.e.To prove relation reflexive, transitive, symmetric and equivalent.