The slant or slope between any two points on a straight line is always equal. A line on the Cartesian plane can be described by a linear equation. If and two points exist on a line then the slope of the line can be written as: A line has a +ve slope if it is … Read more
Union and intersection are some of the most common operations performed with sets. In mathematics, operations like addition, multiplication, subtraction etc are commonly performed. These operations tend to take one or more operand and give away the results based on the performed operation. Similarly, in the set theory, several operations are performed for two or … Read more
See the word problems solved here to get the basic ideas on how you should be using properties of set’s union and intersection. Word Problems: Example 1. Let finite sets, Set A and Set B like n (A) = 25, n (B) = 29; n (A ∪ B) = 38, so, find – n (A … Read more
Ordered pairs are considered to be a fundamental part as far as graphing is considered. Ordered pairs are important to plot various functions on the graph and ordered functions when plotted on graph will determine how the function looks like on the graph. What is an ordered pair? An ordered is determined as a set … Read more
While you may be dealing with functions and relations, understanding them in pictorial forms makes it rather easier. Mapping diagrams help in the clearer understanding of the relations of numbers in one set of values and the other set of values. Using Mapping Diagrams Mapping diagrams prove to be useful while you’re working with functions. … Read more
Equal Sets When two sets contains same elements, then they are regarded as equal sets; it’s regardless of the fact in which order these elements are arranged. What matters is that these are identical elements are present in each of the sets. So, here a few examples based on equal sets. Let’s Say: {2, 9, … Read more
When a set is formed with no elements it cannot be termed as nothing but a set with no elements in it. Such sets which contain no elements are addressed as empty set or null set. Empty Set – Definition Defining an empty set would be quite subtle and requires a thought. It is important … Read more
Difference in Set A and Set B or the difference of Set B from Set A, it’s represented by A-B. It’s the set of all elements of set A that in Set B are not present. Mathematically, it is given by: A-B = { x: x∈A and x∉B} If in the condition, (A∩B) refers to … Read more
Relation While you may be seeking a better hand on functions and relations, it may be important to get to explore different elements included within the same. What is a Relation? Relation is said to determine the relationship that prevails between different sets of values. In Mathematics, this relation exists among the values x and … Read more
Suppose we have a set A which is a subset of some Universal Set “U”. The complement of A is a set of elements of the Universal Set, which are not the elements of A. Here, Set A’ complement is estimated w.r.t Universal Set ( Taking everything in mind, Set A refers to a subset … Read more