Question

Question 6 Solve the given inequality graphically in two-dimensional plane: 2x – 3y > 6

Class X1 - Maths -Linear Inequalities Page 127

Answer 1

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.