product sets

Let A and B be two non-empty sets, then the cartesian product of A and B denoted by A x B = {(a, b) | a A, b B..

Given two sets A and B. Then, all possible ordered pairs (x, y) obtained such that and is called the Cartesian product of the sets A and B. It is denoted by A x B and is read as 'A cross B'.Given two sets A and B. Then, all possible ordered pairs (x, y) obtai..

Cement absorbs water on mixing to form a gelatinous mass. This sets to a hard mass and is very resistant to pressure. This process is called the setting of cement. This simple looking process involves a complicated set of reactions of hydration and hydrolysis, leading..

Ordered pairs and Cartesian products - An ordered pair is a pair of entries in the specific order. The two entries are separated by comma and enclosed within brackets. An ordered pair is a pair of entries in the specific order. The two entries are separated by comma and enclosed within br..

An ordered pair has a pair of elements which occur in a definite order. Cartesian Product - Given two sets A and B, all possible ordered pairs (x, y) obtained such that x A and y B is called the cartesian product of the sets A and B and is den..

Determine the possible values of the least number in a set of three numbers, if the first number ( x ) is 3 less than the third number, the second number is 4 less than the third number and the product of the second and the third numbers is always positive. => { x : x < - 3} ..

Find the possible values of the least number in a set consisting of three numbers, if the first number ( x ) is 8 more than the second number, the third number is 13 more than the second number and the product of the first and the third numbers is always negative. => { x : x <..

Properties of Relations - Consider the set A = {a, b, c, } then any subset of A x A is called a relation in A. Let R be any relation in A so that R is a subset of the product set A x A. We will discuss the properties a relation may possess.Consider the set A ..

A relation R is a non-empty sub-set of a cartesian product. A relation is a set of ordered pairs, i.e., R A x B where A and B are two non-empty sets. Domain of a relation is the set of all first components. Range of a rela..

Function - We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies..