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

Question

parthkohli · Answer

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

parthkohli · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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 · Answer

x is mapped to 3x -18

parthkohli · Answer

What does “mapped to” exactly mean?

anonymous · Answer

we willneed to variables to talk about mapping

anonymous · Answer

we will need two variables

anonymous · Answer

mapped  is in relation to functions.

parthkohli · Answer

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

anonymous · Answer

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

anonymous · Answer

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