section06

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

This preview shows pages 1–12. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ) ....
View Full Document

## This note was uploaded on 02/22/2011 for the course MAT 300 taught by Professor Thieme during the Spring '07 term at ASU.

### Page1 / 64

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

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online