NUMBER THEORY PROBLEM....

[jayon]

|x – 2| ≤ 5 and y ≤ |x – 4|. Find the minimum and maximum values of xy.

[jayon]

how??????????????

[Thanic Nur Samin]

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.

[jayon]

if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!

[Kazi_Zareer]

if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!



Do you read about absolute value?

https://en.wikipedia.org/wiki/Absolute_value