Question

This number line shows the solution of each inequality except

Answer 1

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

`\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-(2)/(-2)x>-(4)/(-2)\Rightarrow x>2 \\ E) \\ (x)/(2)<1\Rightarrow(2x)/(2)<2\Rightarrow x<2 \end{gathered}`

Therefore, the only inequality that is not equivalent to x<2 is option D.

The answer is option D.