MATH 1075 Lecture 19: MATH 1075 Lec 19

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Lecture 19 (section 8. 1) : introduction to relations: in ordinary english, the word relation means some sort of connection between two or more entities. Members of the relation c. x = washington d. c. and y = the u. s. a. are elements or. The values x = ottawa and y = canada are elements or members of c. The values x = mecca and y = france are not elements or members of c. It is not too weird to think of the elements or members of c as ordered pairs. For example, the ordered pairs elements of c. (paris, france) and (columbus, ohio) are. But the ordered pairs members of c. (baghdad, germany) and (miami, florida) are not. Thus, it is not too weird to think of the is the capital of relation c as the set of all ordered pairs like (austin, texas), (paris, france), (london, england), etc. Example 1 state whether each of the following sets are relations.