Question

|4+p| > 3 PLEASE HELLLPPPPP

Answer 1

`p > -1` or
`p < -7`

Step-by-step explanation:

We start off by splitting the equation into the positive case and the negative case. Knowing the absolute value term is |4+p|, we'll use (p+4) for the positive case and -(p+4) for the negative.

Positive Case

`(p+4) > 3`

Simply isolate
`p` by subtracting 4 on both sides.


`(p+4-4) > 3-4`

`p > -1`

Getting
`p > -1` as one of our solutions.

Negative Case

`-(p+4) > 3`

We first have to rearrange the equation as so due to the minus sign.


`-p-4 > 3`

Now we isolate the
`p` again by adding 4 this time.


`-p-4+4 > 3 +4`

`-p > 7`

Finally, we multiply both sides by -1 while flipping the inequality sign because of doing that.


`-p` ×
`-1 > 7` ×
`-1`

`p < -7`

Giving us both of our solutions, p > -1 and p < -7.