Question

7.2x+ y28, x+2y 210

Answer 1

The inequalities are,

2x+y ≥ 8, x+2y≥ 10

For the inequality,

2x+y≥ 8(1)

Put the value x=0 in equation (1).

2( 0 )+y = 8 y= 8

Put the value y = 0 in equation (1).

2x+( 0 )= 8 x= 4

For the inequality,

x+2y ≥ 10(2)

Put the value x=0 in equation (2).

( 0 )+2y = 10 y= 5

Put the value y = 0 in equation (2).

x+2( 0 )= 10 x= 10

For all the two inequalities, the graph is shown as:

In the graph, the inequality 2x+y ≥ 8 is shown by blue color and the inequality x+2y≥10 is shown by red color.

Thus, in the graph, the shaded region above points A and B with both the (blue + red) colors is the graph of the systems of both the inequalities.