Problem

Suppose each point and letter in the figure represents a child on a playground, and an arr...

Suppose each point and letter in the figure represents a child on a playground, and an arrow going from I to J means that I is the sister of J.

a. Based on the information in the figure, who are definitely girls and who are definitely boys?


b. Suppose we write “A is the sister of B” as an ordered pair (A,B). Based on the information in the diagram, write the set of all such ordered pairs.


c. Is the set of all ordered pairs in (b) a function with the domain equal to the set of all first components of the ordered pairs and with the range equal to the set of all second components?

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