Question 6 Solve the given inequality graphically in two-dimensional plane: 2x – 3y > 6
Class X1 - Maths -Linear Inequalities Page 127
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steps for solving this question.
step 1:- consider the inequation as a normal equation e.g 2x - 3y = 6
step2:- find the point on the x-axis and y-axis.
e.g when x = 0, y = -2
when y = 0 , x = 3
step3:- plot the graph using the above values.
step4:- take a origin( 0, 0) and put it in the given inequation
we get 2×0-3×0 >6 => 0 >6
which is false , so the shaded region will be opposite side of the origin(0,0) .
see attachment , shaded region shows the given inequality.
step 1:- consider the inequation as a normal equation e.g 2x - 3y = 6
step2:- find the point on the x-axis and y-axis.
e.g when x = 0, y = -2
when y = 0 , x = 3
step3:- plot the graph using the above values.
step4:- take a origin( 0, 0) and put it in the given inequation
we get 2×0-3×0 >6 => 0 >6
which is false , so the shaded region will be opposite side of the origin(0,0) .
see attachment , shaded region shows the given inequality.
Attachments:
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