3Solve the following inequalities graphically in two-dimensional plane:

y – 5x < 30


Given: 3y – 5x < 30

Consider: 3y – 5x = 30


X



0



-6



Y



10



0



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


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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