Question

The solution to which inequality is shown?

Number line from negative 10 to 10 , tic marks at every integer , labels at negative 10 , negative 5 , 0 , 5 , 10 , open red circle on negative 4 , red shading to the left of the red circle.

A.
y + 3 ≥ –1

B.
y + 3 > –1

C.
y + 3 ≤ –1

D.
y + 3 < –1

Answer 1

Is there an image for this?

Answer 2

yes but idk how to put it on here😕

Answer 3

A screenshot o-o

Answer 4

http://prnt.sc/

Answer 5

https://static.k12.com/calms_media/media/1412500_1413000/1412583/1/dc6b145dc84537ee0bec246d4cdeb4bb57fd98a1/MS_PA_130528_200025.jpg

Answer 6

go here

Answer 7

you see it?

Answer 8

Ah ok

Answer 9

uh...........

Answer 10

One second

Answer 11

ok

Answer 12

@Jakob

Answer 13

just in case you dont know this one : )

Answer 14

please help

Answer 15

One second o-o

Answer 16

Okay, @k12user, I can help. Hang on a minute.

Answer 17

ok

Answer 18

Okay, so my question to you is, the open circle displayed in the image is located at what coordinate number?

Answer 19

https://static.k12.com/calms_media/media/1412500_1413000/1412583/1/dc6b145dc84537ee0bec246d4cdeb4bb57fd98a1/MS_PA_130528_200025.jpg

Answer 20

We should first identify the correct number that corresponds to the location of the open circle before proceeding with this.

Answer 21

here is a photo to see it yourself : )

Answer 22

Yes, I have observed the image already. But I need to understand first what you already understand about the question. The question I asked you is a simple question you should know the answer to.

Answer 23

I'm just simply asking about the location of the open circle. Do you see the open circle on the number line? If so, can you tell me the coordinate number that corresponds to its location?

Answer 24

-4

Answer 25

Very good.

Answer 26

Next, you should understand that the number line itself is identified by the letter "y". And this the reason why we have answer choices that include the "y" variable.

Answer 27

yes i know

Answer 28

Also I should ask, do you know how to distinguish between what an open circle represents and what a closed circle represents in terms of the less than and greater than symbols?

Answer 29

If so please describe that for me real quick.

Answer 30

no i dont

Answer 31

Okay great. I'll try my best to explain. Hang on a minute.

Answer 32

So open circles identify that the solution does not include that particular point that corresponds to its location. For example in this case, -4 is not included as part of the solution. So the algebraic expression will include the symbols < or >, but not the symbols ≥, ≤

Answer 33

okay

Answer 34

This is one of the key points for this particular question. This enables us to eliminate two of the answer choices.

Answer 35

Which two answer choices can we eliminate based on the information I provided above?

Answer 36

A. & C.

Answer 37

Correct. For your information, the symbols ≥, ≤ mean "greater than or equal to" and "less than or equal to" respectively.

Answer 38

yes i know : )

Answer 39

Furthermore, graphically, those symbols are used when the point of interest include "closed circles".

Answer 40

okay

Answer 41

So now, we will observe choices B and D and figure out which of those is correct.

Answer 42

Notice that in the image, the solution part starts and -4 and goes to the left which means the solution gets MORE negative as you move to the left of -4.

Answer 43

okay, not to be rude or inpatient, but are you going to give a full lesson?

Answer 44

In other words, y gets SMALLER as we go towards negative infinity from negative for. So this implies, that the solution for y will be less than -4.

Answer 45

I just want to make sure you understand every step completely.

Answer 46

okay

Answer 47

What is algebraic inequality expression for "y is less than -4"?

Answer 48

D?

Answer 49

I'm not yet asking about the answer choices. Right now, I'd like you to tell me what the algebraic inequality expression that corresponds with the phrase "y is less than -4". If you don't know, you just simply respond with IDK.

Answer 50

y<-4

Answer 51

Very good. Now that we've established that, we will solve both inequalities for options B and D for y

Answer 52

And that should tell us which option is correct.

Answer 53

Think of it as pacman, Hes always eating the larger number :3

Answer 54

(Don't mind me, just giving a good way to remember it, and how i learned it)

Answer 55

same here

Answer 56

i get the whole question @Hero now if im correct D. is the answer, please tell me. i have other questions to get to not just this one. i loved the whole lesson you gave i learned alot from it so thanks. now is D correct?

Answer 57

Option D is correct.

Answer 58

here is a medal : )

Answer 59

@k12user my intention was to help you understand EVERYTHING.

Answer 60

i do understand EVERYTHING my teacher teached me and my classmates. i just didnt understand this one question so thank you : )

Answer 61

You're most welcome. Another intention is to help you so that you feel comfortable answering similar questions going forward.

Answer 62

ok thank you

Answer 63

Happy I was able to help. If you have any other questions going forward, feel free to post them. Also, understand that we are trying to expand our user base, so if you know any other students who may need help with any academic questions, please tell them about QC! We want to build a community of users such as yourself here. Thanks for visiting us. We appreciate you very much.

Answer 64

okay, well do