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Question

Solve the following inequalities graphically in two-dimensional plane:
x+y<5

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Solution

x+y<5 is the shaded region shown in the graph.
If we put O(0,0) in the LHS,we get LHS=0
Now LHS<5
Means O(0,0) lies on "less than " side of the line.
Hence required region is "origin" side of the line.


680157_419397_ans_f549911987024546aae008af6faa743d.png

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