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4 votes
|4+p| > 3 PLEASE HELLLPPPPP

User David Ward
by
7.7k points

1 Answer

2 votes

Answer:


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.

User Bic
by
7.4k points

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