## ParthKohli Group Title Can we use the ‘maps to’ symbol to show a solution of an equation? one year ago one year ago

1. ParthKohli Group Title

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

2. ParthKohli Group Title

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

$f:x \rightarrow3x$ is that cornened with functions

4. oldrin.bataku Group Title

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

5. oldrin.bataku Group Title

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

6. estudier Group Title

x is mapped to 3x -18

7. ParthKohli Group Title

What does “mapped to” exactly mean?

we willneed to variables to talk about mapping

we will need two variables

10. estudier Group Title

mapped is in relation to functions.

11. ParthKohli Group Title

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

12. oldrin.bataku Group Title

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

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

14. ParthKohli Group Title

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

15. estudier Group Title

Where y = f(x)....

16. ParthKohli Group Title

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

17. ParthKohli Group Title

Yes, yes, I know that. :P

$y^2-9=x$

19. estudier Group Title

20. oldrin.bataku Group Title

$x : \mathbb{R}\to{-3,3}$

21. ParthKohli Group Title

Here:$\rm x^2 - 9 = 0$

22. oldrin.bataku Group Title

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

23. ParthKohli Group Title

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

24. ParthKohli Group Title

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

25. oldrin.bataku Group Title

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

26. estudier Group Title

That is not usual...

27. ParthKohli Group Title

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

28. estudier Group Title

Not really...

$x:y \rightarrow \pm \sqrt{9}$

30. oldrin.bataku Group Title

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?"

31. ParthKohli Group Title

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

32. oldrin.bataku Group Title

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

33. estudier Group Title

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

34. ParthKohli Group Title

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

35. estudier Group Title

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

36. ParthKohli Group Title

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

37. estudier Group Title

That's the same, yes...

38. ParthKohli Group Title

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

39. oldrin.bataku Group Title

$(x^2=9)\implies(x=\pm3)$

40. UnkleRhaukus Group Title

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