Question

(05.06)

coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3

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

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

Answer 1

Anyone please help

Answer 2

let's see if point A is a solution

point A at negative 5, 4 means that x = 5 and y = 4

do these values make 2x + y < 10 true?

Answer 3

(x = -5 sorry)

Answer 4

Sorry not good at math but no?

Answer 5

are you sure?

if x = -5 and y = 4

what is 2x + y?

Answer 6

or, let me break it down even further

if x = -5

what is 2x?

Answer 7

10

Answer 8

not quite! check your numbers again

use a calculator if you are unsure

Answer 9

I'm not sure 5?

Answer 10

x = -5

what is 2 times -5?

Answer 11

-10

Answer 12

good!

now, if 2x = -10 and y = 4

what is 2x + y?

Answer 13

2x is the same as -10
y is the same as 4

so what is 2x + y?

Answer 14

-6

Answer 15

good! now back to the inequality

2x + y < 10

is this true?

Answer 16

Yes

Answer 17

good.

now, we need to test the other inequality 2x − 4y > 8

if x = -5 and y = 4, then is 2x - 4y > 8 true?

Answer 18

No

Answer 19

good! so we conclude that point A is NOT a solution

do you think you can try and repeat the same process with the other points?

Answer 20

Yes

Answer 21

good! i need to get going but feel free to tag someone if you need help

Answer 22

Ok thanks for the help

Answer 23

Yes