Notice that the inequality expressed by the number line is x<2 because it includes a hollow point (so we need to use either < or >), and the arrow points towards the negative direction of the number line.
Then, we need to determine which inequality is not equivalent to x<2, as shown below
[tex]\begin{gathered} B) \\ x-1<1\Rightarrow x-1+1<1+1\Rightarrow x<2 \\ C) \\ x-2<0\Rightarrow x<2 \\ D) \\ -2x<-4\Rightarrow-\frac{2}{-2}x>-\frac{4}{-2}\Rightarrow x>2 \\ E) \\ \frac{x}{2}<1\Rightarrow\frac{2x}{2}<2\Rightarrow x<2 \end{gathered}[/tex]
Therefore, the only inequality that is not equivalent to x<2 is option D.
The answer is option D.
