Friends! Today I am going to discuss about one of the most important and a bit complex topic of 9th standard mathematics which is inequality. Before proceeding further, we need to understand the basic concept behind inequality. In simplest mathematics manner we can say that inequality tells that two values are not equal for example: a ≠ b shows that a is not equal to b. Inequality problems comes with various inequality symbols. Before solving such kind of problems we need to learn the symbols of inequalities like the symbol < means less than and the symbol > means greater than and the symbol ≤ less than or equal to etc.

Now I am going to discuss about Linear Inequality.

Let’s take an example of 9th standard linear inequality topic to understand it better.

Solve the inequality: 4 – 3x ≤ 19

Now for solving this problem we need to subtract 4 from both sides

-3x ≤ 15

divide both the sides by 3 to get the desired solution:

-x ≤ 5

Another way of solving such a problem use following steps:

First: write the inequalities in a slope intercept form or in the form of y = mx + b.

Second: temporarily exchange the inequality symbol for the equal symbol

Third: Use different values for x to find points that will be graphed in the form (x,y).

At last: we need to draw lines on the graph using these above values. Point slope refers to a method of graphing a linear equation on an x-y axis.

Now I am going to discuss about Linear Inequality.

**Graphing**is the best way to understand the basic concept of Linear Inequality. A linear**inequality graph**describes an area of the coordinate plane that has a boundary line. In simple way in linear inequalities, everything is on one side of a line on a graph. In mathematics, a**linear inequality**is an inequality which involves a linear function.Let’s take an example of 9th standard linear inequality topic to understand it better.

Solve the inequality: 4 – 3x ≤ 19

Now for solving this problem we need to subtract 4 from both sides

-3x ≤ 15

divide both the sides by 3 to get the desired solution:

-x ≤ 5

Another way of solving such a problem use following steps:

First: write the inequalities in a slope intercept form or in the form of y = mx + b.

Second: temporarily exchange the inequality symbol for the equal symbol

Third: Use different values for x to find points that will be graphed in the form (x,y).

At last: we need to draw lines on the graph using these above values. Point slope refers to a method of graphing a linear equation on an x-y axis.