Question

Help please, with explanation

Answer 1

Answer:

D. $x2$

Step-by-step explanation:

$|x+2|-1>3$

First, add 1 to both sides:

$|x+2|>4$

Now, you can split this into 2 equations. The value of the absolute value statement will be the same whether the statement inside is positive or negative. Example:

$|2|=2\\|-2|=2$

Because of that, the $x+2$ could be positive or negative and still be true.

$x+2>4\\-(x+2)>4$

Then, you can solve both of these inequalities. Top one here:

$x+2>4\\x>2$

Bottom one:

$-(x+2)>4$

Divide both sides by a -1 here, but be sure to invert the inequality sign:

$x+2$

The solutions are:

D. $x2$