Question
6.1.1:Matrices and arrow diagrams for relations expressed as sets of pairs. (b) The domain for relation R is {1, 2, 3, 4}. R = {
(b)
The domain for relation R is {1, 2, 3, 4}. R = { (1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3) }.
(c)
The domain for relation R is {1, 2, 3, 4}. R = { (1, 2), (2, 1), (3, 3) }.
6.1.2:Arrow diagrams for relations on small finite sets.
Draw the arrow diagram for each relation.
(a)
The domain of relation C is {0, 1}3. For x, y {0, 1}3, xCy if y can be obtained from x by changing one 0 to a 1.
(c)
The domain of relation D is {2, 3, 12, 16, 27, 48}. For x, y in the domain, xDy if y is an integer multiple of x.
(d)
The domain of relation H is a group of four friends. For x, y in the domain, xHy if y is at least as tall as x. The table below shows each person in the domain and her height.
Angie5'0"Bernice5'3"Carmen5'3"Deirdre5'5"
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