Question

Jalen solved the equation |x-2| - 1 > 2 by graphing. Which graph can Jalen use to show his solution?

Answer 1

Answer: B y'all

2021

Answer 2

For this case we have the following inequality:

`|x-2| - 1 \ \textgreater \ 2`
We can rewrite the inequality as follows:

`|x-2| \ \textgreater \ 2 + 1`

`|x-2| \ \textgreater \ 3`
From here, we have two possible cases:
Case 1:

`x-2 \ \textgreater \ 3`
Case 2:

`x-2 \ \textless \ -3`
Therefore, graphically, it is observed that the solution is:
(5, ∞)
(-∞, -1)
To do this, we must observe the shaded region in the graph, or equivalently the numerical line.
Answer:
(5, ∞)
(-∞, -1)
See attached image for the graphic solution