Question

Question 4 Solve the following system of inequalities graphically: x + y≥ 4, 2x – y > 0

Class X1 - Maths -Linear Inequalities Page 129

Answer 1

x + y≥ 4 , 2x - y>0

For solving this type of problems follow the below steps.

step1:- consider the inequations as strict equations.
x + y = 4
2x - y = 0

step2:- find the points on co-ordinate axes.
For, x + y = 4,
when, x = 0, y = 4
when, y=0 , x = 4

For, 2x - y = 0
when, x = 0, y =0

step3:- plot the graph of , x+y = 4 and 2x - y = 0 by using above Data's.

step4:- take a point (0,0) and put it in above inequations.

(0)+(0) ≥ 4 , which is false .hence, shaded region will be away from the origin.

2(0) - (0) >0 , which is true. Hence shaded region will be towards the origin.

now, see attachment .
Thus , common shaded region shows the solution of the inequalities.