Question

Solve each of the following equations. Show its set on a number line. |4x-4(x+1)|=4

Answer 1

Solving this equation, we have:

`\begin{gathered} |4x-4\mleft(x+1\mright)|=4​ \\ |4x-4x-4|=4 \\ |-4|=4 \\ 4=4 \end{gathered}`

Since the final sentence is always true, the solution set is all real numbers.

Showing it in the number line in blue, we have: