Solve the following inequalities graphically in two-dimensional plane:

x + y < 5


Given: x + y < 5

Consider: x + y = 5


X



0



5



Y



5



0



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


Now Consider x + y < 5


Select a point (0,0)


0 + 0 < 5


0 < 5 (this is true)


Solution region of the given inequality is below the line x + y = 5. (That is origin is included in the region)


The graph is as follows:



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