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Ex 6.3, 1 Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2 First we solve x ≥ 3 Lets first draw graph of x = 3 At x = 3, y can have any value Drawing graph Checking for (0,0) Putting x = 0, y = 0 x ≥ 3 0 ≥ 3 which is false Hence, Origin does not lie in plane x ≥ 3 So, we shade right side of line Now we solve y ≥ 2 Lets first draw graph of y = 2 At y = 2, x can have any value Drawing graph Checking for (0,0) Putting x = 0, y = 0 y ≥ 2 0 ≥ 2 which is false Hence, Origin does not lie in plane y ≥ 2. So, we shade upward region Hence, the shaded region represents the given inequality.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.