Given y – 5x < 30

Now draw a dotted line 3y – 5x = 30 in the graph (3y – 5x = 30 is excluded in the given question)

Now Consider 3y – 5x < 30

Select a point (0, 0)

⇒ 3(0) – 5(0) < 30 or

⇒ 0 < 30 (this is true)

Solution region of the given inequality is below the line 3y – 5x < 30. (That is origin is included in the region)

The graph is as follows:

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