## anonymous 5 years ago solve this inequality and write the answer in interval notation: (4)/(x-3)-(1)/(2x)≥0

1. anonymous

How would you solve it if it were an equality?

2. anonymous

im not sure.

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

find a common denominator

7. anonymous

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

8. anonymous

So what would that look like?

9. anonymous

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

10. anonymous

This is how you get the answer

11. anonymous

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

12. anonymous

yes, how do i get the answer?

13. anonymous

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.

14. anonymous

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

15. anonymous

Did you solve the relation for x?

16. anonymous

yes i did

17. anonymous

What did you get?

18. anonymous

-15

19. anonymous

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

20. anonymous

can you just please show me how to solve it.