Answer:
B.
Step-by-step explanation:
Plug in and see:
Let's try the first (x,y)=(5,7)
4(5)+5(7) <=20
20+35<=20 not true so not A
Let's try (1,1) for (x,y)
4(1)+5(1)<=20
4+5<=20 that is true so choice B looks good
For this case we must replace each of the points and verify if the inequality is met:
Point: (5,7)
[tex]4 (5) +5 (7) \leq20\\20 + 35 \leq20[/tex]
It is not fulfilled!
Point: (1,1)
[tex]4 (1) +5 (1) \leq20\\9 \leq20[/tex]
Is fulfilled!
Point: (0,5)
[tex]4 (0) +5 (5) \leq20\\0 + 25 \leq20[/tex]
It is not fulfilled!
Point: (8,0)
[tex]4 (8) +5 (0) \leq20\\32 \leq20[/tex]
It is not fulfilled!
Answer:
(1,1)
