SOLUTION: {{{abs(-5p) > 20}}} find absolute value and graph it's solution. I really need help with the {-5p} inside the para thesis. If sure you should change it when dividing and if

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Question 730264: find absolute value and graph it's solution.

I really need help with the {-5p} inside the para thesis. If sure you should change it when dividing and if you switch the signs after you divide it.

Thank You for cooperation
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Easier to first divide both sides by 5, so that you have |-p|>4. You may then make a picture using a number line to visualize the solution for p.

If -p is positive, then |-p|=-p. Think about that and be sure it makes sense to you before continuing...
If -p is positive, then , which means .

If -p is NEGATIVE, then |-p|=p.
This will mean that .

In summary, the solution for the inequality is, OR .