Can we use the ‘maps to’ symbol to show a solution of an equation?

- ParthKohli

Can we use the ‘maps to’ symbol to show a solution of an equation?

- katieb

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- ParthKohli

For example,\[\rm 3x = 18 \implies x\mapsto6\]Will that be the correct notation?

- ParthKohli

Also check this one:\[\rm x^2 = 9\implies x\mapsto(3,-3)\]

- anonymous

\[f:x \rightarrow3x\]
is that cornened with functions

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- anonymous

The first is OK because it defines x as a constant function.

- anonymous

The second defines x as a constant function yielding (3,-3) which doesn't make much sense here... perhaps you mean: \[x=\pm3\text{ or }x\in\{3,-3\}\]

- anonymous

x is mapped to 3x -18

- ParthKohli

What does “mapped to” exactly mean?

- anonymous

we willneed to variables to talk about mapping

- anonymous

we will need two variables

- anonymous

mapped is in relation to functions.

- ParthKohli

Yes, okay, but how can you say that \(\rm x\) maps to 3 or -3?

- anonymous

@ParthKohli a map is a relation between sets; \[x\mapsto3\text{ is essentially the same as }F(x)=3\]

- anonymous

|dw:1350632977047:dw|
f is a function that maps x to y

- ParthKohli

Yes, that's exactly what I am taught. Was just confirming. :)

- anonymous

Where y = f(x)....

- ParthKohli

Well, so how can say write this?
x maps to either 3 or -3.

- ParthKohli

Yes, yes, I know that. :P

- anonymous

\[y^2-9=x\]

- anonymous

So where is your function?

- anonymous

\[x : \mathbb{R}\to{-3,3} \]

- ParthKohli

Here:\[\rm x^2 - 9 = 0\]

- anonymous

\[x\in\{-3,3\}\text{ or }x=\pm3\]

- ParthKohli

As I said, I need to use the mapping symbol for showing the solution of an equation.

- ParthKohli

My current question is, how can we use the mapping symbol to show two solutions of an equation?

- anonymous

That makes virtually no sense. Do you know what the symbol means?

- anonymous

That is not usual...

- ParthKohli

Yes, I know what mapping means... ugh. Can we even use the mapping symbol to show two solutions of an equation?

- anonymous

Not really...

- anonymous

\[x:y \rightarrow \pm \sqrt{9}\]

- anonymous

If you knew what a map was you wouldn't ask a question like that; no, you can't because that's not what it's for. That's like asking "can I use a telescope to write?"

- ParthKohli

How would you represent that the solutions of equation \(\rm x^2 = 9\) are \(3\) and \(-3\)?

- anonymous

\[x=\pm3\text{ or }x\in\{-3,3\}\]

- anonymous

Well, one way is just to write it like u just did...:-)

- ParthKohli

What will the full mathematical sentence be? @estudier @oldrin.bataku

- anonymous

x^2 = 9 -> x = plus/minus 3

- ParthKohli

\[\rm x^2 = 9 \implies x=\pm 3\]right?

- anonymous

That's the same, yes...

- ParthKohli

Thank you both, I'm returning with another question. :P

- anonymous

\[(x^2=9)\implies(x=\pm3)\]

- UnkleRhaukus

use \mapsto to show the related sets , the independent variable (x) and the dependent variable f

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