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

Choices:

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

Answer 1

Graph

Answer 2

substitute each points and see iif they will fit

Answer 3

love12609784, do you see where point A is?

Answer 4

Yes I do see where point A is

Answer 5

what are the coordinates of point A

Answer 6

-5,4 or is it 4,-5? sorry I get confused on those

Answer 7

the x axis is the horizontal axis

Answer 8

the point A is over -5 on the x axis

so x = -5

Answer 9

the y axis is vertical

so y = 4

Answer 10

together we have (x,y) = (-5, 4)

x = -5
y = 4

Answer 11

now we turn to the first inequality 2x + y ≤ 10

Answer 12

2x + y ≤ 10

2(-5) + 4 ≤ 10 ... replace x with -5 and y with 4

-10 + 4 ≤ 10

-6 ≤ 10 ... this inequality is true, so (-5, 4) is a solution to 2x + y ≤ 10

Answer 13

refresh the page if you get weird looking symbols showing up

Answer 14

making sense?

Answer 15

Yes it does. Thank you :)