Question

Question 5 Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2

Class X1 - Maths -Linear Inequalities Page 127

Answer 1

steps for solving,
x - y ≤ 2 by graphical method
step 1:- consider the inequation as strict equation e.g x - y = 2

step2:- find points on the x-axis and y axis . e.g when x = 0, y = -2
when y = 0, x = 2

step3:- plot the graph the above values .

step4:- take origin (0,0) and put it inequation .
e.g 0-0 ≤ 2 which is true hence, shaded region of graph lies along origin side .

thus, see attachment, shaded region shows graph of x-y ≤ 2