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## Define an Ordered Pair?

An ordered pair is a two-element set, usually denoted by the symbols (x, y), that has a specific order. The first element, x, is called the first coordinate, or the x-coordinate, and the second element, y, is called the second coordinate, or the y-coordinate.

## Overview of an Ordered Pair

An ordered pair is a two-element set consisting of a first element and a second element, both of which are ordered. The first element is always listed first, and the second element is always listed second. An ordered pair can be represented using the notation (x, y), where x is the first element and y is the second element.

## Ordered Pair explanation

An ordered pair is a two-element set that can be represented as a point in a plane. The first element is the x coordinate, and the second element is the y coordinate. The origin (0,0) is the point where the x and y axes intersect.

## Example of an Ordered Pair

(1, 2)

## Set of Ordered Pairs

{(-2, 1), (-1, 2), (0, 3), (1, 4), (2, 5)}

## Properties of Ordered Pairs

An ordered pair is a mathematical object consisting of two elements, typically denoted by x and y. The order of the elements is important, so that the pair (2, 3) is different from the pair (3, 2).

The first element of an ordered pair is called the x-coordinate, and the second element is called the y-coordinate. The x-coordinate always comes first.

The x-coordinate of a point in a two-dimensional plane can be thought of as its horizontal position, and the y-coordinate can be thought of as its vertical position.

An ordered pair can be represented using a coordinate plane, with the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis.

The following are some properties of ordered pairs that are important to know:

The x-coordinate and the y-coordinate are always real numbers.

The x-coordinate and the y-coordinate can never be negative numbers.

The x-coordinate and the y-coordinate can never be greater than or equal to the number of points in the coordinate plane.

The x-coordinate and the y-coordinate can never be less than or equal to zero.

The x-coordinate and the y-coordinate can never be the same number.

## Summary

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For more visit Plot Ordered Pairs | How to Plot an Ordered Pair on a Coordinate Plane?