Let l 1 and l 2 be lines in a plane. Decide in each case whether or not R is an equivalence relation, and justify your decisions. l 1 R l 2 if and only if l 1 and l 2 are parallel. l 1 R l 2 if and only if l 1 and l 2 are perpendicular.
Let l 1 and l 2 be lines in a plane. Decide in each case whether or not R is an equivalence relation, and justify your decisions. l 1 R l 2 if and only if l 1 and l 2 are parallel. l 1 R l 2 if and only if l 1 and l 2 are perpendicular.
Solution Summary: The author explains that the relation R is an equivalence relation if the following conditions are satisfied.
Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive,
symmetric, antisymmetric, or transitive.
Which of the following relations is transitive? Define a relation R in the natural number.
Select the correct response(s):
O R= {(x, y) I x + 2y = 7}
R = xsy
OR= {(x, y) I x + y = 8}
R = {(x, y) I x – y = 4}
Let A = {a, 6, 7, 8}.
Determine whether relation R₁ = {(a, a),(a, §),(a, ß), (8, α), (7, 7), (7, a)}
is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, and/or transitive on
AXA.
Check the box below if the property satisfies the relation.
Reflexive
Irreflexive
Symmetric
Asymetric
Antisymmetric
Transitive
The relation does not satisfy any of the given properties.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY