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Ex 6.2, 7 - Solve -3x + 2y >= -6 - Chapter 6 Class 11 - Ex 6.2

Ex 6.2,  7 - Chapter 6 Class 11 Linear Inequalities - Part 2

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Ex 6.2, 7 Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6 −3x + 2y ≥ −6 Lets first draw graph of −3x + 2y = −6 Putting x = 0 in (1) −3(0) + 2y = −6 0 + 2y = −6 2y = −6 y = (−6)/( 2) y = −3 Putting y = 0 in (1) −3x + 2(0) = −6 −3x + 0 = −6 −3x = −6 x = (−6)/( −3) x = 2 Drawing graph Checking for (0,0) Putting x = 0, y = 0 −3x + 2y ≥ −6 −3(0) + 2(0) ≥ −6 0 ≥ −6 which is true Hence origin lies in the plane –3x + 2y ≥ –6 . So, we shade left side of line

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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.