what is the symbol $⊭$ in logic? I know that $⊨$ symbol is entails symbol and $A⊨B$ means that if A is True then B must be True.

But I'm confused about the $⊭$ symbol. which one is it?
  
  
*
  
*$A⊭B$ means if A is true then B is False? = $A⊨¬B$
  
*$A⊭B$ means the Trueness of A is not any guarantee for B?
  
*$A⊭B$ means if A is False then B must be True? = $¬A⊨B$

thank you in advance.

$A \vDash B$ means

For all assignments $v$, if $A$ is true under $v$, then $B$ is true under $v$.

$A \not \vDash B$ simply is the (meta-logical) negation of this statement, that is

Not for all assignments $v$ it is the case that if $A$ is true under $v$, then $B$ is true under $v$

which is equivalent to

There is at least one assignment $v$ such that $A$ is true under $v$ but $B$ is not

which means your second option is the right one.  
The other two options (1 and 3) are notated in the way you already figured out by yourself.
