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How to Write an Inequality for a Graph?

TopIInequality can be defined as an expression in which left hand side is not equals to right hand side, it is less than or greater than from right hand side. It is represented by symbol ‘< ‘when left hand side is smaller or less than right hand side. And ‘>‘when left hand side is greater than right hand side. Inequalities can be plotted on graphs. These points help to determine the area satisfying the equations. We must know how to write an inequality for a graph as it helps to determine the particular region satisfying the inequality. An inequality for a graph is explained with help of an example. Suppose an equation x + y < 5. For plotting inequality let us assume it as an equation and put x = 0 and y = 0 in inequality, if it satisfies the inequality that is left hand side is smaller than right hand side then lower region that is the region below the line x + y = 5 will be shaded. Now this region will be considered as defined for this particular line. This equation is represented on graph as shown below.

In this graph for equation x + y = 5 on substituting values of 'x' and 'y' equals to 0, we get lower region of line satisfying inequality. Thus it is shaded. We can write inequality of graph as x + y < 5. One should have proper idea to calculate and understand equations and Solving Equations. If inequality does not satisfies the points substituted in it then region opposite to points are shaded or assumed to be satisfied for that equation. Suppose in the above inequality if (0, 0) does not satisfies the inequality than region above the line x + y = 5 will be considered as solution for that inequality.