Question

Question 7 Solve the following system of inequalities graphically: 2x + y≥ 8, x + 2y ≥ 10

Class X1 - Maths -Linear Inequalities Page 129

Answer 1

2x + y ≥8, x + 2y ≥10

For solving this problem, follow the below steps.

step1:- consider the inequations as strict equations.
2x + y = 8
x + 2y = 10

step2:- find the points on co-ordinate axes.
For, 2x + y = 8
when, x = 0, y = 8
when, y= 0, x = 4

for, x + 2y = 10
when, x = 0, y = 5
when, y =0, x = 10

step3:- plot the graph of ,
2x + y = 8,
x + 2y = 10


step4:- take a point (0,0) and put it in inequations .
2(0) + (0) ≥ 8, which is false . Hence the shaded region will be away from the origin.

(0) + 2(0) ≥10, which is false.hence , the shaded region will be away from the origin.

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