Question

A number line is shown in the image. Select the number that is 4.5 units from 6 on the given number line.

Answer 1

The number is 4.5 units away from 6, let x represent said number then you can express it as:

|x-4.5|<6

Solve for x

$\begin{gathered} |x-4.5|<6 \\ |x|<6-4.5 \\ |x|<\frac{3}{2} \\ |x|<1.5 \end{gathered}$

The determined number is below 1.5