Question

Which of the following inequalities matches the graph?

The correct inequality is not listed.

5x + y >= 1

5x + y <= 1

5x - y >= 1

Answer 1

The way I do this is to first ignore the inequality and focus on the line dividing the regions. See if the line is described by the equation given if you change the inequality to an equals sign. So I eliminate some wrong answers.
Then I test a point i pick a test point in the region and see which of the remaining inequalities satisfies it

Answer 2

is it 5x-y>=0?

Answer 3

i think its c

Answer 4

yes definitely c

Answer 5

how can you get it?

Answer 6

im so confused! i just need an answer

Answer 7

@King.Liang be patient, you need the logic to get the answer for your own future question. let everybody discuss and follow that

Answer 8

well okay then

Answer 9

subtract 1 from both sides and then add y to both sides and you get
\[5x-1 \ge y\]

Answer 10

@MATTW20 subtract and add to which equation? you don't have any equation to manipulate except the graph, from the graph you have the equation for the line is y =5x only

Answer 11

no slope formula is mx+b where b is the y intercept in this case b is -1 as you can see on the graph

Answer 12

it's a little hard to tell because the graph goes up by two instead of one

Answer 13

no, you have 2 points (2,10) and (-2,-10) so the slope is 5, I got it is y<=5x

Answer 14

but whats the answer! ive been on the same question for 30 minutes

Answer 15

so 5x-y>=0

Answer 16

the answer is c

Answer 17

@ King-Liang just one more minute

Answer 18

those aren't the points that is just where the graph ends technically the equation goes on until infinity

Answer 19

I don't think so, read the instruction, the correct answer is not given, you have to find it out based on the graph

Answer 20

so this is your starting equation for c \[5x-y \ge 1\]

Answer 21

those are king liang's words aren't they?

Answer 22

I don't start at this, the scale from the graph definitely has meaning. I base on it to get the answer because the instruction said that the correct inequality is not listed.

Answer 23

if you subtract 1 from both sides you get \[5x-y-1\ge 0\]

Answer 24

then if you add y to both sides you get \[5x-1\ge y\]

Answer 25

ok. let the asker makes decision, if the instruction comes from him, you are right, if the it comes from the original problem, i 'm right

Answer 26

but you don't account for the one so it doesn't make sense it doesn't just disappear

Answer 27

you have 3 equations , what makes you think you pick any of them to get answer?

Answer 28

and they give you the graph just for fun?

Answer 29

Is this a troll?

Answer 30

No, just discuss about math. I have my own logic to get the answer, defute me, we try to help the asker only and the asker need the right answer.

Answer 31

@King.Liang if you have to choose one of the answer you pick c as Mattw20 say. if you dont' have to choose and have to give out the right one by your self, pick mine 5x-y>=0.done

Answer 32

fine whatever

Answer 33

thats not in the options

Answer 34

ok. pick mine

Answer 35

@MATTW20 fair enough, friend?

Answer 36

idk Dude just lemme finish my Calc. homework

Answer 37

me too, I have a bunch of homework, from my cal, linear algebra and discrete. come here for relaxing and getting the feeling being helpful