arnohmata
11.12.2019 •
Mathematics
Let s be the set of people in the united states. test the following binary relations on s for reflexivity, symmetry, antisymmetry, and transitivity.
a. x rho y > x is the husband of y.
b. x rho y > x is the spouse of y.
c. x rho y > x has the same parents as y.
d. x rho y > x is the brother of y.
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Ответ:
Step-by-step explanation:
a. x rho y ---> x is the husband of y.
Not reflexive, because x cannot be husband of x, not symmetric also not transitive
b. x rho y ---> x is the spouse of y.
Not reflexive, but symmetric because when x is the spouse of y, y is the spouse of x. Canot be transitive
c. x rho y ---> x has the same parents as y.
This is reflexive, symmetric and also transitive. Because when x and y have same parents and y,z have same parents then x and z have same parents.
d. x rho y ---> x is the brother of y
Not reflexive, need not be symmetric if x is a girl.
Transitive is true.
Ответ:
the peripheral nervous system
Step-by-step explanation:
the nervous system can be broken down into two parts: central and peripheral. Central consists of the brain and spinal cord and the peripheral consists of all other nerves.