NUMBER THEORY PROBLEM....
|x – 2| ≤ 5 and y ≤ |x – 4|. Find the minimum and maximum values of xy.
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- Thanic Nur Samin
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Re: NUMBER THEORY PROBLEM....
Note that $x=-1$ satisfies the first condition. Now, $|x-4|$ is a positive number, and any negative number is smaller that it. So, if we take $y=-\infty$, then $xy=\infty$, which is the largest value possible. Similarly, take $x=1$ and $y=-\infty$ again to obtain $xy=-\infty$, which is the minimum value.
Hammer with tact.
Because destroying everything mindlessly isn't cool enough.
Because destroying everything mindlessly isn't cool enough.
Re: NUMBER THEORY PROBLEM....
if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!
- Kazi_Zareer
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Re: NUMBER THEORY PROBLEM....
jayon wrote:if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!
Do you read about absolute value?
https://en.wikipedia.org/wiki/Absolute_value
We cannot solve our problems with the same thinking we used when we create them.