Let R be a relation on the set A = {1,2,3,4,5,6} defined by
R = {(a,b) (element symbol)AxA׀ a + b <= 9}
(a) List the elements of R.
My Answer:
R = {(1,1),(1,2),(1,3),
(1,4),(1,5),(1,6),
(2,1)(2,2),(2,3),
(2,4),(2,5),(2,6),
(3,1),(3,2),(3,3),
(3,4),(3,5),2,6),
(4,1),(4,2),(4,3),
(4,4),(4,5),(5,1),
(5,2),(5,3),(5,4),
(6,1),(6,2),(6,3)}
(b) Let Δ = {(x,x) ׀ x (element symbol)A } Is Δ (subset symbol) of R?
My Answer so far:
Δ = {(1,1),(2,2),(3,3)
,(4,4),(5,5)}
Not sure how to explain it?
(c) R = R^(-1)? Not sure how to show it?
Thank you for your help!
2007-02-28
05:28:29
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1 answers
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asked by
MathStudent3
1
in
Mathematics