Question 2 Solve the given inequality graphically in two-dimensional plane: 2x + y ≥ 6
Class X1 - Maths -Linear Inequalities Page 127
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steps for solving ,
2x + y ≥ 6 by graphically method.
step1:- consider the inequation as strict equation e.g 2x + y = 6
step2:- find the points on the co-ordinate axes.
e.g when x = 0, y = 6
when y = 0, x = 3
step3:- plot the graph using above data's.
step4:- take a point (0,0) and put it in inequation 2x + y ≥ 6
we get , 2×0+0≥6 => 0≥6 which is false , so the shaded region will be opposite side of the origin.
see attachment, shaded region shows graph of 2x + y ≥ 6
2x + y ≥ 6 by graphically method.
step1:- consider the inequation as strict equation e.g 2x + y = 6
step2:- find the points on the co-ordinate axes.
e.g when x = 0, y = 6
when y = 0, x = 3
step3:- plot the graph using above data's.
step4:- take a point (0,0) and put it in inequation 2x + y ≥ 6
we get , 2×0+0≥6 => 0≥6 which is false , so the shaded region will be opposite side of the origin.
see attachment, shaded region shows graph of 2x + y ≥ 6
Attachments:
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