Question

Graph the following expression on the number line by placing the dot in the proper location.

|2 - x | = 4

Answer 1

For this to be true
2 - x = 4 OR 2 - x = -4
x = -2 x = 6
Put dots on -2 and 6 on your number line.

Answer 2

\(\large |2 - x | = 4\implies
\begin{cases}
+(2 - x ) = 4\implies 2 - x = 4\\ \quad \\
-(2 - x ) = 4\implies 2 - x =-4
\end{cases}\)