Question

1.
WORKSHEET - 19
IfR = {(a, b)/ \a + b = |al + [b]} is a relation on a set {-1,0,1), then R is
a) Reflexive
b) Symmetric
c) Anti symmetric
d) Equivalence​

Answer 1

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Answer 2

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Hope this helps you ;)

Write all the elements of R on set {-1, 0, 1}

R = (0,0), (1, 1), (-1, -1), (0, -1), (-1, 0), (1, 0), (0, 1), (-1, 1), (1, -1)

R = {(a, b): |a + b| = |a| +|b|}

The relation R is reflexive, symmetric and transitive: Equivalence.