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Comment on Absolute Inequality Starring p
Hello.
In the explanation, why did -p/2 become p/-2?
Thanks to hear,
Kind regards,
Ryan
Hi Ryan,
Hi Ryan,
Those expressions are equivalent, in the same way that (-6)/2 = 6/(-2).
Both are equal to -3
Does that help?
Cheers,
Brent
Can I understand that this is
Our goal is to find possible
Our goal is to find possible values of p, not -p
This is why I rewrote the expression in terms of p
Now I get it, Thanks.
Instead of first dividing all
I'd be careful to avoid
I'd be careful to avoid rewriting 3|-p/2 - 1| as |-3p/2 - 3|, since this COULD lead to errors with other questions.
However, taking from -15 < ((-3p/2)-3) < 15, we can still arrive at the correct solution.
You have: -15 < -3p/2 - 3 < 15
Add 3 to all sides: -12 < -3p/2 < 18
Multiply all sides by 2: -24 < -3p < 36
Divide all sides by -3: 8 > p > -12
Rewrite as: -12 < p < 8
This is the same conclusion as in the video solution.
Cheers,
Brent
Hello brent.
why did not you perform the negative value of |-p/2 - 1|
absolute value of |x| can be +x and -x.
The solution is considering
Hi Aziz.
The solution does consider the negative value of |-p/2 - 1|
Once we know that: |-p/2 - 1| < 5
We rewrite it as: -5 < -p/2 - 1 < 5
As you can see, the -5 here takes care of the negative value of -p/2 - 1
Does that help?