Question

Please help, I'll fan and give medal.

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

Does that make sense?

Answer 7

So y is just the other side of the arrow?

Answer 8

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

Answer 9

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

Answer 10

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?

Answer 11

Yep.

Answer 12

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

Answer 13

But where does 6x come from?

Answer 14

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)

Answer 15

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

Answer 16

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

Answer 17

That means 4 x 3 and 6 x 3.

Answer 18

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. /:

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

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.

Answer 24

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.

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

The answer is y = 18.

Answer 29

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

Answer 30

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.

Answer 31

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

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

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

Answer 36

Okay cool!