Negative two times x in algebraic notation is:
[tex]-2x\text{.}[/tex]And, no more than 6 in algebraic notation is:
[tex]\le6.[/tex]Therefore, negative two times x is no more than 6 in algebraic notation is
[tex]-2x\le6.[/tex]Dividing by -2 we get:
[tex]\begin{gathered} \frac{-2x}{-2}\ge\frac{6}{-2}, \\ x\ge-3. \end{gathered}[/tex]Answer: [-3,∞)