In the previous post we have discussed about analyzing equations and inequalities and In today's session we are going to discuss about solving systems of inequalities by graphing. If variables are not equals to each other then we can say it is an inequality. Now we will discuss some of the conditions for an inequality which are: let we have two variables ‘p’ and ‘q’ then:

Condition1: If p ≠ q; that represents ‘p’ is not equals to ‘q’;

Condition 2: If p < q then it represents ‘p’ is less than ‘q’;

Condition3: If p > q then it represents ‘p’ is greater than ‘q’.

If the given conditions are present then we say that inequality is present. Now we will discuss how to

Step 1: To plot graph first we have an inequality equation. Let we have an equation x + y ≤10.

Step 2: Then put the different values of x – coordinate to get the other value of y – coordinate. So we can write the above equation as:

Y ≤- x + 10,

Step 3: If we put the value of x coordinate is ‘1’ then we get the value of y – coordinate is 9.

If we put the value of ‘x’ is 0 then we get the value of ‘y’ is 10. If we put value of ‘x’ is ‘4’ then we get the value of ‘y’ is ‘6’ and we put the value of ‘x’ coordinate is ‘6’ then we get the value of ‘y’ is ‘4’. So we get the ‘x’ and ‘y’ coordinates as: (1, 9), (0, 10), (4, 6), (6, 4). Now we can easily plot the graph of the given inequality. The graph is shown below.

Condition1: If p ≠ q; that represents ‘p’ is not equals to ‘q’;

Condition 2: If p < q then it represents ‘p’ is less than ‘q’;

Condition3: If p > q then it represents ‘p’ is greater than ‘q’.

If the given conditions are present then we say that inequality is present. Now we will discuss how to

**solving systems of inequalities by graphing**. We need to follow some steps to plot the graph. We know that there are many methods for solving systems of inequalities but solving graphically is the one of the best method. (know more about Inequality, here)Step 1: To plot graph first we have an inequality equation. Let we have an equation x + y ≤10.

Step 2: Then put the different values of x – coordinate to get the other value of y – coordinate. So we can write the above equation as:

Y ≤- x + 10,

Step 3: If we put the value of x coordinate is ‘1’ then we get the value of y – coordinate is 9.

If we put the value of ‘x’ is 0 then we get the value of ‘y’ is 10. If we put value of ‘x’ is ‘4’ then we get the value of ‘y’ is ‘6’ and we put the value of ‘x’ coordinate is ‘6’ then we get the value of ‘y’ is ‘4’. So we get the ‘x’ and ‘y’ coordinates as: (1, 9), (0, 10), (4, 6), (6, 4). Now we can easily plot the graph of the given inequality. The graph is shown below.

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