or
A set A is said to be a proper subset of B if B contains at least one element, which is not in..
Finite and Infinite Sets
A set is finite if it contains a specific number of elements. Otherwise, a set is an infinite s..
Equal Sets
Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..
Question 3
Question: Write down the following statements using set notation. (i) x is an element of set A (ii) y is not an element of set (iii) A is a subset of B (iv) A is a proper subset of B (v) A contains B (vi) A is superset of B (vii) Neither A is a subset of B, nor B is a subset of A. ..
Question: Write down the following statements using set notation. (i) x is an element of set A (ii) y is not an element of set (iii) A is a subset of B (iv) A is a proper subset of B (v) A contains B (vi) A is superset of B (vii) Neither A is a subset of B, nor B is a subset of A. ..Proof:
We must prove two statements. If x A and x B then, by the statement "two sets A and B are different if there exists an element which belongs to one set but not to the other" and by hypothesis, A = B is contradicted. Thus A B. Similarly B A. If A B, then there is an eleme..
We must prove two statements. If x A and x B then, by the statement "two sets A and B are different if there exists an element which belongs to one set but not to the other" and by hypothesis, A = B is contradicted. Thus A B. Similarly B A. If A B, then there is an eleme..Suggested answer:
Let T r + 1 be the term containing x 4 0 . \ r = 40 ..
Let T r + 1 be the term containing x 4 0 . \ r = 40 ..Some Observations:
If n N, then (1 + x) n is defined for all values of x and if n Q - N, then (1 + x) n is defined only when |x|<1. If n N, then (1 + x) n contains only n+1 terms and if n Q - N, then (1 + x) n contains infinitely many terms. In the expansion of (1 + x) n , t..
If n N, then (1 + x) n is defined for all values of x and if n Q - N, then (1 + x) n is defined only when |x|<1. If n N, then (1 + x) n contains only n+1 terms and if n Q - N, then (1 + x) n contains infinitely many terms. In the expansion of (1 + x) n , t..Sets Summary
Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are satisfied by the elements of th..
Matrices and Determinants
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing respectively the first column, 2 n..
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing respectively the first column, 2 n..Neutron
A neutron is a particle having a mass equal to 1.67 x 10 - 2 4 g (hydrogen atom) and no electrical charg..
Result
Pages   :     1     2     3     4     5     6     7     8     9     10     11
See what our Users say :
It's help ful session. I translate my book with him it was great time - William
I need tutoring from tutorvista till th end of my schooling. Tutors are not only experts they are brilliant enough to make a student like me understand the concepts of differentiation and functions.
Tutors here are the best and Tutor Vista you are the best online tutoring company - Sam
The tutor remembered me from last week and noted my improvement. This is simply amazing :)
Looking for More Help!
