Question

8.x+y9, y>x, x20

Answer 1

The inequalities are,

x+y ≤ 9, y >x, x ≥ 0.

For the inequality,

x+y ≤ 9(1)

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

( 0 )+y=9 y=9

Put the value y = 0 in equation (1).

x+( 0 )=9 x= 9

For the inequality y > x, the value of y should be greater than x.

For the inequality x ≥ 0, the value of x can be equal to 0 and greater than 0.

For the three inequalities, the graph is shown as:

In the graph, the inequality y >x is shown by red color, the inequality x+y ≤9 is shown by blue color, and the inequality x≥0 is shown by green color.

Thus, the region ABC as shown in the graph is the graph of the system of all three inequalities.