Ex 6.2, 6 - Chapter 6 Class 11 Linear Inequalities

Transcript

Ex6.2, 5 Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2 x – y ≤ 2 Lets first draw graph of x – y = 2 Putting x = 0 in (1) 0 – y = 2 –y = 2 y = -2 Putting y = 0 in (1) x – 0 = 2 x – 0 = 2 x = 2 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x – y ≤ 2 0 – 0 ≤ 2 0 ≤ 2 which is true Hence origin lies in the plane 3x + 2y > 6 . So, we shade left side of line