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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.
So 1st plug in 3 wherever there is an x: (3) > 2(3) -10 then 3 = y
3 > -4, but I'm not understanding how to find y in either of these statements.
3 > 6 - 10 Is what you should get. And you know this is true right? Any questions so far?
Okay so you found 3 > -4 and that is true. Because that is true you know y = 3
Does that make sense?
So y is just the other side of the arrow?
well it is x = y. So you substitute in the 3 for x. So 3 = y.
Because it is saying if this first part is true, and it is, this next part must be true.
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?
You solve the next one in pretty much the exact same way.
But where does 6x come from?
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)
So if 4x (12) was replaced with 6x (18), it would be true, the same thing?
When you substitute in for x: If 4(3) is greater than or equal to 12, then y = 6(3)
That means 4 x 3 and 6 x 3.
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. /:
Not exactly. You it is saying if the first one is true then the next one is also.
You know that 4 * 3 equals 12. So then you know y = 2 * (3)
But if 6x doesn't come before 12 then I don't see what it has to do with the problem lol
You're figuring out the if the first part is true.
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.
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.
It says y = x * 6. You know what x is. So I'm not exactly sure what the confusion is.
You can find the number y is equal to. It is just a symbol for a number just like x is.
The answer's 18, so would it be 18 is greater than or equal to 12?
The answer is y = 18.
You're overthinking this. It literally just means that y = 18.
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.
Yep. You do understand that if the first part were false, you wouldn't be able to draw any conclusions at all right?
Like if it had said x =3 If x < 2 then y = 50
You wouldn't be able to draw any conclusions from that because 3 is not less than 2.
Both of your problems were true so you were able to find what y was equal to.
Yea, that I get. I looked at some other problems as well that were false in my book to see how they were solved