Question #183900

C. RELATION. Consider X = {-3, -2, -1, 0, 1} defined by (x,y) R if xy.

Find for:

1. Elements of R (3 pts)

2. Domain and Range of R (2 pts)

3. Draw the digraph (3 pts)

4. Identify the properties of R (2pts)


1
Expert's answer
2021-04-29T12:08:12-0400

Solution.

1.

R={(x,y)xy}={(1,1),(1,0),(1,1),(1,2),(1,3),(0,0),(0,1),(0,2),(0,3),(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)}.2.R=\{(x,y)|x\geq y\}=\{(1,1),(1,0),(1,-1),(1,-2),(1,-3),\newline(0,0),(0,-1),(0,-2),(0,-3),(-1,-1),(-1,-2),\newline(-1,-3),(-2,-2),(-2,-3),(-3,-3)\}.\newline 2.

Domain(R)={3,2,1,0,1}.\{-3,-2,-1,0,1\}.

Range(R)={3,2,1,0,1}.\{-3,-2,-1,0,1\}.

3.



4.

Relation R is reflexive,
antusymmetric,
non-transitive.

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