Question

The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?

2x + y ≤ 10
2x − 4y < 8

A, C, D, K
E, F, G, J
A, C, D, H, K
E, F, G, H, J

Answer 1

@DALLINATOR720

Answer 2

2x + y ≤ 10

y ≤ - 2x + 10 → you can see the line in red

As the sign is ≤, you keep only the part below the red line, included the red line


2x - 4y < 8

- 4y < - 2x + 8

y > (- 2x + 8)/- 4

y > - (1/2)x - 2 → you can see the line in blue

As the sign is >, you keep only the part above the blue line

https://s.yimg.com/hd/answers/i/da2b72a3e57e49bf9a2e5290f4d45599_A.png?a=answers&mr=0&x=1450285522&s=6da5499d53a6eb01f57582c65e38f39d

So the answer is ACDK

Answer 3

thx can u help with a few more

Answer 4

Yeah but im not the best im pretty sure I can

Answer 5

Which of the following points lie in the solution set to the following system of inequalities?

y ≤ x − 5
y ≥ −x − 4

(−5, 2)
(5, −2)
(−5, −2)
(5, 2)

Answer 6

i think its the first one

Answer 7

wait no its not

Answer 8

-(x+4) ≤ y ≤ (x-5) (I assume this is what you meant)

I'll do the first one.
Plug in (x=-5,y=2)

-(-5+4) ≤ 2 ≤ (-5-5)

1 ≤ 2 ≤ -10

1 is less than or equal to 2, but 2 is not less than or equal to -10. So (-5,2) is not a solution.

Do the other points the same way.

Answer 9

Or you can graph the two inequalities on a coordinate plane. Each inequality requires shading on one side of the line. Once you have the shading in place, you graph the four points. The points which are in the region shaded by both of the inequalities are solutions.

Answer 10

nice copying and pasting

Answer 11

lol