kmullis6
  • kmullis6
Please help, I'll fan and give medal.
Mathematics
jamiebookeater
  • jamiebookeater
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kmullis6
  • 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
  • unimatix
So 1st plug in 3 wherever there is an x: (3) > 2(3) -10 then 3 = y
kmullis6
  • kmullis6
3 > -4, but I'm not understanding how to find y in either of these statements.

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unimatix
  • unimatix
3 > 6 - 10 Is what you should get. And you know this is true right? Any questions so far?
unimatix
  • unimatix
Okay so you found 3 > -4 and that is true. Because that is true you know y = 3
unimatix
  • unimatix
Does that make sense?
kmullis6
  • kmullis6
So y is just the other side of the arrow?
unimatix
  • unimatix
well it is x = y. So you substitute in the 3 for x. So 3 = y.
unimatix
  • unimatix
Because it is saying if this first part is true, and it is, this next part must be true.
kmullis6
  • 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
  • unimatix
Yep.
unimatix
  • unimatix
You solve the next one in pretty much the exact same way.
kmullis6
  • kmullis6
But where does 6x come from?
unimatix
  • 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
  • kmullis6
So if 4x (12) was replaced with 6x (18), it would be true, the same thing?
unimatix
  • unimatix
When you substitute in for x: If 4(3) is greater than or equal to 12, then y = 6(3)
unimatix
  • unimatix
That means 4 x 3 and 6 x 3.
kmullis6
  • 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
  • unimatix
Not exactly. You it is saying if the first one is true then the next one is also.
unimatix
  • unimatix
You know that 4 * 3 equals 12. So then you know y = 2 * (3)
kmullis6
  • kmullis6
But if 6x doesn't come before 12 then I don't see what it has to do with the problem lol
unimatix
  • unimatix
You're figuring out the if the first part is true.
unimatix
  • 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
  • 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
  • unimatix
It says y = x * 6. You know what x is. So I'm not exactly sure what the confusion is.
unimatix
  • unimatix
You can find the number y is equal to. It is just a symbol for a number just like x is.
kmullis6
  • kmullis6
The answer's 18, so would it be 18 is greater than or equal to 12?
unimatix
  • unimatix
The answer is y = 18.
unimatix
  • unimatix
You're overthinking this. It literally just means that y = 18.
kmullis6
  • 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
  • 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
  • unimatix
Like if it had said x =3 If x < 2 then y = 50
unimatix
  • unimatix
You wouldn't be able to draw any conclusions from that because 3 is not less than 2.
unimatix
  • unimatix
Both of your problems were true so you were able to find what y was equal to.
kmullis6
  • 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
  • unimatix
Okay cool!

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