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Ex 6.3
Ex 6.3, 2 Deleted for CBSE Board 2023 Exams
Ex 6.3, 3 Deleted for CBSE Board 2023 Exams
Ex 6.3, 4 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 5 Deleted for CBSE Board 2023 Exams
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Ex 6.3, 7 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 8 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 9 Deleted for CBSE Board 2023 Exams
Ex 6.3, 10 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 11 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 12 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 13 Deleted for CBSE Board 2023 Exams
Ex 6.3, 14 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 15 Important Deleted for CBSE Board 2023 Exams
Ex 6.3
Last updated at March 29, 2023 by Teachoo
Ex 6.3, 6 Solve the following system of inequalities graphically: x + y ≤ 6, x + y ≥ 4 First we solve x + y ≤ 6 Lets first draw graph of x + y = 6 Putting y = 0 in (1) x + 0 = 6 x = 6 Putting x = 0 in (1) 0 + y = 6 y = 6 Points to be plotted are (0,6) , (6,0) Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≤ 6 0 + 0 ≤ 6 0 ≤ 6 which is true Hence origin lies in the plane x + y ≥ 4 So, we shade the left side of line Now we solve x + y ≥ 4 Lets first draw graph of x + y = 4 Putting x = 0 in (1) 0 + y = 4 y = 4 Putting y = 0 in (1) x + 0 = 4 x = 4 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≥ 4 0 + 0 ≥ 4 0 ≥ 5 which is false Hence origin does not lie in plane x + y ≥ 4 So, we shade the right side of line Hence the shaded region represents the given in equality Points to be plotted are (0,4) , (4,0)