Solution set
The set of ordered pairs (x,y), which satisfy the given inequation, is called the solution set of the inequation..
(iii) Set-builder notation
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) : f(x) = x 2 + 3, x I} Domain is th..
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) : f(x) = x 2 + 3, x I} Domain is th..Domain
The set of first elements in a relation is called Domain. In example (6), Domain is set A = {1, 2, ..
Domain
The set of all the first elements of the ordered pairs of a function is called the domai..
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, b, c, } then any subset of A x..
Following are the types of Functions:
(1) One-one function (2) Many-one function (3) Onto function (4) Into function Let the relation be from set A to set ..
2. Many-one function
There is many-one correspondence between the elements of the set A and the set B..
There is many-one correspondence between the elements of the set A and the set B..Statement:
If A and B are non-empty sets. Prove that A x B = B x A, if and only if A =..
Relations
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..
1)
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represent..
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represent.. Result
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