Question 1 Solve the given inequality graphically in two-dimensional plane: x + y < 5
Class X1 - Maths -Linear Inequalities Page 127
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steps for solving,
x + y < 5 graphically method.
step1:- consider the inequation as strict equation. e.g, x + y = 5
step2:- find the points on the co-ordinate axes.
e.g when x = 0, y = 5
when y = 0, x = 5
step3:- plot the graph using above values of x and y .
step4 :- take a point (0, 0) and put it in inequation x + y < 5
we get , 0 + 0 < 5 which is true .
so, the shaded region will be towards the origin .
see attachment, shaded region shows the graph of , x+y<5
x + y < 5 graphically method.
step1:- consider the inequation as strict equation. e.g, x + y = 5
step2:- find the points on the co-ordinate axes.
e.g when x = 0, y = 5
when y = 0, x = 5
step3:- plot the graph using above values of x and y .
step4 :- take a point (0, 0) and put it in inequation x + y < 5
we get , 0 + 0 < 5 which is true .
so, the shaded region will be towards the origin .
see attachment, shaded region shows the graph of , x+y<5
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