Graphs of linear inequations


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1)

Consider the equation x = 0, x = 1, y = 0, y = -2.

i) x = 0 represents y-axis.

ii) x = 1 represents line parallel to y-axis.

iii) y = 0 represents x-axis.

iv) y = -2 represents line parallel to x-axis.

2)

Consider the following inequations.

a) x > 0

Steps to draw the graph

Step1:

Draw the graph of equation x = 1 which is a line.

Step 2:

In case of inequation < or >, draw the line dotted otherwise draw the line thick. This line divides the plane into two equal parts.

Step 3:

Choose a point that does not satisfy the inequation and shade the remaining parts leaving the line. If the point satisfies the given inequation, shade the part including the point and the line.

The process of shading is clear from the graphs depicted above.


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