1 Answer
Solution :-
Given x + y ≤ 9,
Putting value of x = 0 and y = 0 in equation one by one, we get value of
y = 9 and x = 9
The required points are (0, 9) and (9, 0)
Checking if the origin is included in the lines graph (0, 0)
0 ≤ 9
Which is true, so the required area would be including the origin and hence will lie on the left side of the lines graph.
y > x,
Solving for y = x
We get x= 0, y = 0 so the origin lies on the lines graph.
The other points would be (0, 0) and (2, 2)
Checking for (9, 0) in y > x,
We get 0 > 9 which is false, since the area would not include the area below the lines graph and hence would be on the left side of the line.
We have x ≥ 0
The area of the required lines graph would be on the right side of the lines graph.
Therefore the shaded are is the required solution of the given inequalities.
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