Question

solve this inequality and write the answer in interval notation:

(4)/(x-3)-(1)/(2x)≥0

Answer 1

How would you solve it if it were an equality?

Answer 2

im not sure.

Answer 3

(-infinity,-4)U(3/2,infinity)

Answer 4

do you think you could show me how you got that answer?

Answer 5

If you had:
\[\frac{4}{x-3} - \frac{1}{2x} = 0\]
What would your first step be.

Answer 6

find a common denominator

Answer 7

That's one way to start. Lets go with that since it's your intuition

Answer 8

So what would that look like?

Answer 9

i just want to know how you get the answer (-infinity,-4)U(3/2,infinity) ?

Answer 10

This is how you get the answer

Answer 11

Polpak is explaning how you get the answer. Listen, she/he knows what they are talking about. :)

Answer 12

yes, how do i get the answer?

Answer 13

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.

Answer 14

ok but i still dont see how you get -4 and (3/2)

Answer 15

Did you solve the relation for x?

Answer 16

yes i did

Answer 17

What did you get?

Answer 18

-15

Answer 19

That doesn't seem quite right. Care to show your work for that?

Answer 20

can you just please show me how to solve it.