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Discrete Mathematics With Applicat...
Solutions
Discrete Mathematics With Applicat...
Define relation R and S on R as follows:
That is, R is the “less than” relation and S is the “equals” relation on R. Graph
To graph R, S, R ∈S, and R nS in the Cartesianplane.
Given information:
Define relations R and S on R as follows:
R = {(x, y) ∈R xR | x < y} and
S = {(x, y) ∈R xR | x = y}.
That is, R is the “less than” relation and S is the “equals” relation on R. Graph R, S, R ∈S, and R nS in the Cartesianplane.
Calculation:
R = {(x, y) ∈R xR | x < y}
S = {(x, y) ∈R xR | x = y}
Graph R
R contains all ordered pairs (x, y) for which x
Graph S:
S contains all ordered pairs (x, y) for which x = y, which is the straight line y = x.
Graph union:
The graph of the union
Chapter 8 Solutions
