Question 6 Solve 2x – 3y > 6 graphically. 2x – 3y > 6 Lets first draw graph of 2x – 3y = 6 VPutting x = 0 in (1) 2(0) – 3y = 6 0 – 3y = 6 – 3y = 6 y = ( 6)/(−3) y = –2 Putting y = 0 in (1) 2x – 3(0) = 6 2x – 0 = 6 2x = 6 x = ( 6)/2 x = 3 Points to be plotted are (0, –2), (3, 0) Drawing graph Checking for (0,0) Putting x = 0, y = 0 2x – 3y > 6 2(0) – 3(0) > 6 0 > 6 which is false Hence origin does not lie in plane. So, we shade right side of line

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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