[Tex/LaTex] How to type left/right quotes in mathmode

Question

I want to type "left-quotes" and "right-quotes" in an equation. I tried

$P(x):`` \forall x \in \mathbb{R}, \, x^2 > 4 \Rightarrow x > 2. ``$

I get

The end sign is not correct. How to typeset?

Answer 1

\documentclass[preview,border=12pt]{standalone}
\usepackage{amsmath,amssymb}
\begin{document}
$P(x):\text{``$\forall x \in \mathbb{R}, \, x^2 > 4 \Rightarrow x > 2$.''}$
\end{document}

Suggestion

It is just my personal preference.

Add a space after `` and before ''.

\documentclass[preview,border=12pt]{standalone}
\usepackage{amsmath,amssymb}
\begin{document}
$P(x):\text{``~$\forall x \in \mathbb{R}, \, x^2 > 4 \Rightarrow x > 2$~'' is true.}$
\end{document}