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section06 - Section 6 — Relations Ordered Pairs In...

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Unformatted text preview: Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. But there are circumstances where order is important. MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. But there are circumstances where order is important. For example, MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. But there are circumstances where order is important. For example, 1 < 3 but 3 1. MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. But there are circumstances where order is important. For example, 1 < 3 but 3 1. As another example, in analytic geometry the coordinates of a point ( x ; y ) represent an ordered pair of numbers. MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs In discussing sets, we said that order was not important. But there are circumstances where order is important. For example, 1 < 3 but 3 1. As another example, in analytic geometry the coordinates of a point ( x ; y ) represent an ordered pair of numbers. For instance, the point ( 1 ; 3 ) is different than ( 3 ; 1 ) . MAT 300 Awtrey MATHEMATICS AND STATISTICS 1 / 17 Section 6 — Relations Ordered Pairs When we wish to indicate that a set of two elements a and b is ordered , we enclose the elements in parentheses: ( a ; b ) . MAT 300 Awtrey MATHEMATICS AND STATISTICS 2 / 17 Section 6 — Relations Ordered Pairs When we wish to indicate that a set of two elements a and b is ordered , we enclose the elements in parentheses: ( a ; b ) . a is the first element and b is the second element. MAT 300 Awtrey MATHEMATICS AND STATISTICS 2 / 17 Section 6 — Relations Ordered Pairs When we wish to indicate that a set of two elements a and b is ordered , we enclose the elements in parentheses: ( a ; b ) . a is the first element and b is the second element. The important property of ordered pairs is MAT 300 Awtrey MATHEMATICS AND STATISTICS 2 / 17 Section 6 — Relations Ordered Pairs When we wish to indicate that a set of two elements a and b is ordered , we enclose the elements in parentheses: ( a ; b ) . a is the first element and b is the second element. The important property of ordered pairs is ( a ; b ) = ( c ; d ) iff a = c and b = d MAT 300 Awtrey MATHEMATICS AND STATISTICS 2 / 17 Section 6 — Relations Ordered Pairs When we wish to indicate that a set of two elements a and b is ordered , we enclose the elements in parentheses: ( a ; b ) ....
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This note was uploaded on 02/22/2011 for the course MAT 300 taught by Professor Thieme during the Spring '07 term at ASU.

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section06 - Section 6 — Relations Ordered Pairs In...

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