Answer:
See the explanation and the image.
Step-by-step explanation:
The inequality [tex]2y \leq 6[/tex] means [tex]y \leq 3[/tex].
y = 0, satisfies the above inequality, so the arrows will be towards the x axis.
Now, we need to draw 5x < 8 + 4y.
First, lets draw the equation of 5x = 8 + 4y.
y = 1 gives x = 2.4 & y = 0 gives x = 1.6.
Hence, the above equation passes through (2.4, 1) and (1.6, 0).
The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.
The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.
