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Topic Content:
- Inequality Graphs
- Simultaneous Linear Inequalities in Two Variables
The procedure for drawing the graph of inequality is similar to that of a linear graph.
Every point on the line is going to be a solution to the equations of the linear graphs above.
Boundaries within regions:
The required boundary of a particular region is described by the equality sign =
However, if the inequality sign is:
1. \( \scriptsize < \: or \: > \): the points on the boundary region are to be excluded, and for this, broken lines are used to draw the graph.
The shaded region (in green), in the inequality graph \( y \scriptsize > x \)is above the line.
The shaded region (in green) in the inequality graph \( y \scriptsize < \: – x \)is below the line.
2. \( \scriptsize \leq \: or \: \geq \): the points on the boundary region are included, and for this, continuous (straight unbroken) lines are used.
The shaded region (in green), in the inequality graph \( y \scriptsize \geq x \)is above the line.
The shaded region (in green), in the inequality graph \( y \scriptsize \leq \: – x \)is below the line.
The additional point to note here will be the shading of regions in the graph of inequality.
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