solve this inequality and write the answer in interval notation: (4)/(x-3)-(1)/(2x)≥0

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solve this inequality and write the answer in interval notation: (4)/(x-3)-(1)/(2x)≥0

Mathematics
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How would you solve it if it were an equality?
im not sure.
(-infinity,-4)U(3/2,infinity)

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do you think you could show me how you got that answer?
If you had: \[\frac{4}{x-3} - \frac{1}{2x} = 0\] What would your first step be.
find a common denominator
That's one way to start. Lets go with that since it's your intuition
So what would that look like?
i just want to know how you get the answer (-infinity,-4)U(3/2,infinity) ?
This is how you get the answer
Polpak is explaning how you get the answer. Listen, she/he knows what they are talking about. :)
yes, how do i get the answer?
The overall strategy is to solve the relation the same way you would solve an equality. And just remember if you multiply (or divide) by a negative you change the direction of the relation.
ok but i still dont see how you get -4 and (3/2)
Did you solve the relation for x?
yes i did
What did you get?
-15
That doesn't seem quite right. Care to show your work for that?
can you just please show me how to solve it.

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