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

Answer 1

im not asking for the answer, i just wanted to know how to do it . i think i know but im not sure

Answer 2

@Vocaloid Should I try?

Answer 3

go for it, you don't need my permission

Answer 4

lmao, do i have to just substitute each point and whichever one gives the right answer is the correct one ?

Answer 5

that's one way to do it, but... there might be an easier way

since it gives you two inequalities and a graph, try graphing

2x + y ≤ 10
2x - 4y < 8

and take all the points that fall within the solution set

Answer 6

first of all you have to put random points and see what the line is (graph)
2x+y=10 (let)
see, 5,0 and 0,10 satisfies

Answer 7

now draw a line between these two points

Answer 8

now when it is <=10 that means it is the shaded portion towards the origin from the line

Answer 9

yellow potion is the shaded potion, thats the way

Answer 10

@Vocaloid could you verify me for the first question?

Answer 11

do the second in a similar way.....@bullkidd
Are you getting it?

Answer 12

yeeeeeeeeeeep thank youuu

Answer 13

and who should i give a medal to , lol

Answer 14

Its your wish..... @bullkidd

Answer 15

thanks m8

Answer 16

No problem

Answer 17

first draw the line
ax+by=c by finding any two points on the line
if \[c \neq 0\]
then put x=0,y=0 in the given equation to see if the origin lies in the region if the equality is true ,origin lies in the region
if false origin does not lie in the region.
if c=0, then put x=1 or any other integer and y=0
and repeat the same.