Question

Solve the system of inequations graphically
see the attachment
please answer this font be hungry for points

Answer 1

X + y ≤6 , x + y ≥ 4

For solving this problems follow the below steps.

step1:- consider the inequations as strict equations.

x + y =6,

x + y = 4

step2:- find the points on co-ordinate axes.

for, x + y = 6

when x=0, y = 6

when, y =0, x = 0

for, x+y=4

when, x= 0, y = 4

when,y =0, x = 4

step3:- plot the graph of,

x + y = 6,

x + y = 4.

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

(0)+(0)≤6 , which is true . Hence the shaded region will be towards the origin.

(0)+ (0) ≥4, 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.