How to Solve Inequalities

In the previous post we have discussed about How to Draw Bar Graph and In today's session we are going to discuss about How to Solve Inequalities, Algebra can be consider as a important part of mathematics that perform the task of converting the real world problem in the form of mathematical equation or find the value of a variable in mathematical equation. In mathematics, an algebraic equation represents the relationship between the both side of equal sign in algebraic equation. It means anything happen with number on one side also reflect the changes on other side.
Algebraic equation basically deals with solving an equation by finding the value of variable. It also perform task of solving an inequalities of algebraic equation. Here in this section we are going to discuss about the topic how to solve inequalities.
In mathematics, the concept of inequalities can be represented by some of the symbol that are given below:
a ) >= greater then equal to
b )> greater then
c ) <= less then equal to
d ) < = less then
as we all are very well aware that algebraic expression is a combination of number and variables to represent the real world problem in a mathematical form. When such kind of symbol are used with algebraic expression then a question arises in our mind that how to solve inequalities.
The solution of solving inequalities from an equation is already defined by mathematics. To solve the inequalities from an algebraic expression can be done by two ways.
A ) first is “ By adding or subtracting a value from both side”: It means to say that inequalities can be solve by adding or subtracting the same value on both side. Like there is a equation a + 5 < 10 then it can be solve as a + 5 – 5 < 10 – 5 = a < 5. The obtained result shows that the value of x must be less then 5 to set the equation true.
B ) By dividing and multiplying the value. The concept of 

Measures of Central Tendency can be performed by using mean, median or mode of mathematics that helps in extracting the exact values. Icse stands for Indian certificate for secondary education that provide icse board sample papers for class 12 to the students for guiding the students in the examination by providing a list of questions. 

How to Draw Bar Graph

In the previous post we have discussed about slope worksheets and In today's session we are going to discuss about How to Draw Bar Graph. Statistics is the branch of the mathematics and in statistics we use graphs for calculating the data. In statistics there are different types of graphs such as histogram, line graph, frequency polygon and many more. Bar graph is one of them and also used for calculating data by graphically. They are rectangular in shape and following types of bar graph can be feasible. (know more about Bar chart, here)

I.        simple bar graph

II.        Double bar graph

III.        Divided bar graph

Bar graphs are used to display the categorical type data. This type of data have no order, with the help of bar graph we can represent the numerical data in the pictorial or graphical form. These bars or rectangular shape can be draw horizontally or vertically.
There are some steps to construct the bar graphs.
Step 1: - First of all change the given frequency distribution from inclusive form to exclusive, if it is already in exclusive form then there is no need to change the form.
Step 2: - Then taking suitable scale, make the class interval as base along the x axis.
Step 3: - After that make the respected frequencies as heights along y axis.
Step 4: - Repeat second and third step until all the frequency distribution is finish.
Step 5: - Now we will create the bars by taking the base and heights. We can color and label them also.
Suppose we have some names as a base and their age as heights. Than we can make the bar graph by taking names at x axis and age at y axis.



Combinations and permutations have the great importance in modern mathematics. We use combinations when order does matter and we use permutations when order does not matter.
Syllabus of CBSE board includes all of those units that is very essential for the growth of students.

slope worksheets

A slope defines the inclination of a line or the steepness of the line. In general slope can be defined as the proportionate ratio of rise when divided by the run among two points on the line. The slope worksheets helpful in estimating the points of a line, which in the plane consisting of the x and y axes which is represented by the letter 't' and is defined as the difference in y coordinate by the difference in x coordinate among the two distinct point on the line. We can also express it as
         âˆ†y      rise
t =  ------ = -------- .
         âˆ†x        run
here the Greek symbol âˆ† (pronounced as delta) is used to show the change or the difference.
Let us assume that ,If the two points are given (x1,y1) and (x2,y2) then the variation in x from one to the another will be considered as x2 - x1 ( taking as run) whereas the change in y will be y2 - y1 (considered as rise) now the formula generate will takes place which is given below:
                 y2 - y1
       t = ----------
               x2 - x1
In the case of vertical line this formula will not work.
To understand this in the more precise manner we will consider one illustration:
suppose a line runs through two points : s = (4,1) and t(13,8) now as stated in the above formula we will follow the following steps.
           âˆ†y        y2 - y1
   m = ------ = -----------
           âˆ†x        x2 - x1

            8 – 4
       = -------- (place the value in the formula)
           13 – 1

       = 4/12 (calculation will be conducted)
       = 1/3
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