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- kmullis6

Please help, I'll fan and give medal.

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- kmullis6

State whether any conclusions can be made using the true statement, given that x = 3.
26) If x > 2x - 10, then x = y.
28) If 4x is greater than or equal to 12, then y = 6x.

- unimatix

So 1st plug in 3 wherever there is an x:
(3) > 2(3) -10 then 3 = y

- kmullis6

3 > -4, but I'm not understanding how to find y in either of these statements.

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## More answers

- unimatix

3 > 6 - 10 Is what you should get. And you know this is true right? Any questions so far?

- unimatix

Okay so you found 3 > -4 and that is true. Because that is true you know y = 3

- unimatix

Does that make sense?

- kmullis6

So y is just the other side of the arrow?

- unimatix

well it is x = y. So you substitute in the 3 for x. So 3 = y.

- unimatix

Because it is saying if this first part is true, and it is, this next part must be true.

- kmullis6

What I put as my answer on my paper is this: True; 3 > 2(3) -10, 3 > 6 - 10, 3 > -4. y = 3. Would this be all I need to do and that's my answer for 26?

- unimatix

Yep.

- unimatix

You solve the next one in pretty much the exact same way.

- kmullis6

But where does 6x come from?

- unimatix

So it is saying if the first part is true after you substitute in for x, the next part will be also so in that case y = 6(3)

- kmullis6

So if 4x (12) was replaced with 6x (18), it would be true, the same thing?

- unimatix

When you substitute in for x:
If 4(3) is greater than or equal to 12, then y = 6(3)

- unimatix

That means 4 x 3 and 6 x 3.

- kmullis6

So from what I'm understanding...
4(3) is greater than or equal to 12.
6(3) is greater than or equal to 12.
So true.
I'm sorry if I sound stupid, but I've been told so many different things this past week and today I don't know how to do any of this. /:

- unimatix

Not exactly. You it is saying if the first one is true then the next one is also.

- unimatix

You know that 4 * 3 equals 12. So then you know y = 2 * (3)

- kmullis6

But if 6x doesn't come before 12 then I don't see what it has to do with the problem lol

- unimatix

You're figuring out the if the first part is true.

- unimatix

If it is true then you can use that to solve the second part and find what y equals. If it were false you wouldn't be able to draw any conclusions from it.

- kmullis6

Yea, that's true because it's equal to it. But what I'm getting confused on is where y comes to play in the problem.

- unimatix

It says y = x * 6. You know what x is. So I'm not exactly sure what the confusion is.

- unimatix

You can find the number y is equal to. It is just a symbol for a number just like x is.

- kmullis6

The answer's 18, so would it be 18 is greater than or equal to 12?

- unimatix

The answer is y = 18.

- unimatix

You're overthinking this. It literally just means that y = 18.

- kmullis6

Oh. I'm sorry for dragging that simple thing out for so long. When it comes to math, I always overthink things. I was told something different earlier and going off of that, and also what my teacher's said, so I've got confused. Thank you so much for your help.

- unimatix

Yep. You do understand that if the first part were false, you wouldn't be able to draw any conclusions at all right?

- unimatix

Like if it had said x =3
If x < 2 then y = 50

- unimatix

You wouldn't be able to draw any conclusions from that because 3 is not less than 2.

- unimatix

Both of your problems were true so you were able to find what y was equal to.

- kmullis6

Yea, that I get. I looked at some other problems as well that were false in my book to see how they were solved

- unimatix

Okay cool!

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