Question

Solve the inequality y plus eight is less than negative thirty-two.

Answer 1

Firstly, let's set this up as an equation.

Answer 2

y + 8 > -32...it could be many things.

Answer 3

True, that's why you graph it. Graphing it involves showing how it's an infinite answer.

Answer 4

Firstly, solve for y. What's the first step?

Answer 5

The answers they give are: y > -40, y < -40, y < -24, y > -24

Answer 6

> = less than ?

Answer 7

That's "greater than". Please try to answer my question, though, if you can, what's y less than here? How do we isolate y?

Answer 8

I wasn't taught how...thats why I take a virtual class. My teacher never taught us

Answer 9

Ah, ok. For simplicity, let's pretend the less than symbol is actually an equals sign. In these equations, where you want to isolate (aka "solve for...") a variable, you need to get rid of other values acting upon it, by doing the opposite upon them to move them. NOTE: what is done to one side must be done to the other(s). For example:

Answer 10

20-5=15...sooo -32+8= -24

Answer 11

-24 would be greater than -32 because it's closer to being a positive

Answer 12

y > -24

Answer 13

No, you forget that the example I used had a value being ADDED to the variable to start, not subtracted, as yours is. Subtraction is done as so:

Answer 14

And, for future reference, this is how you do multiplication/division, which are opposites.

Answer 15

Yeah, I do. :) So lets just say x-6=21, x-6+6+21+6

Answer 16

Yep! And therefore x=?

Answer 17

27

Answer 18

Yep! So how do you do your actual problem? What does y equal?

Answer 19

Sorry, not equal, I should have said "less than"

Answer 20

y+8=32, y+8-8-32-8= 40

Answer 21

I'm afraid you've got the original problem written incorrectly. It should be "y+8>-32"

Answer 22

Oh woooow. Hmm...y+8>-32, y+8-8--32-8= y > -40?

Answer 23

no no no

Answer 24

-24

Answer 25

The first answer was right, just make sure to include the ">" in your steps.

Answer 26

y > -40?

Answer 27

Yep! Now, do you have any experience with graphing variables like this?

Answer 28

Experience...no, I don't think so..maybe now because you taught me

Answer 29

Haha, alright then! Let's start by making a coordinate plane. Can you make a rough one for me using "draw"?

Answer 30

Don't worry about marks denoting values yet, just draw the two lines please.

Answer 31

this kind of graph?