introduction to set theory


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A set A is said to be a proper subset of B if B contains at least one element, which is not in..
Significant Figures Index
Introduction - We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figure..
(i) Roster Method
This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..
Example 2:
The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..
Question 4
Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..
Ratio and Proportion I
Introduction - If a and b are any two quantities of the same kind a and b are not equal to zero. then the quotient a/b is called the ratio of a and b. It is expressed as a : b. (read as a is to b..
Definition:
If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..
Venn Diagrams [Euler-Venn Diagrams]
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangle..
Venn Diagrams [Euler-Venn Diagrams]
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or s..
Example:
A set containing 2,3,5,7,8 is Written as {2,3,5,7,8} in Roster metho..
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