Answer with Step-by-step explanation:
we are given system of inequalities:
3x + 5y ≤ 9 and
2x + y ≥ 5
We have to determine the graph of the above system
In Second and third graph point (0,6) lies in shaded region
Putting (0,6) in 3x + 5y ≤ 9
3×0+5×6≤9
⇒ 30≤9 which is incorrect
Hence, second and third are not its graph
In fourth graph (0,3) lies in shaded region
Putting (0,3) in 3x + 5y ≤ 9
3×0+5×3≤9
⇒ 15≤9 which is incorrect
Hence, fourth is not its graph
Hence, the only option we are left is graph first
Hence, first graph is the correct representation of 3x + 5y ≤ 9 and
2x + y ≥ 5