Question

Solve this inequality and write the answer in interval notation:

(4)/(x-3)-(1)/(2x)≥0

Answer 1

Do what you said before.. Put them over a common denominator.

Answer 2

combine fractions
common denominator is (x-3)(2x)
8x-(x-3) / 2x(x-3) >=0
simplifies to
7x+3 >= 0
7x >= -3
x >= -3/7

Answer 3

thank you. at least someone knows how to show their work.

Answer 4

Nobody cares if WE know how to do it. The question is do YOU know how to do it. If not then you will have to learn. And you won't do that by simply following along someone else's thought process.

Answer 5

i think i will lol

Answer 6

no im kidding. your right

Answer 7

Really? Cause dumbcow's answer is wrong. And if you write it down then you are also wrong.

Answer 8

if his answer is wrong, then what is the right answer?

Answer 9

very true...
repeat these steps on your own to practice

Answer 10

What we said the last time you asked this.. \([-3/7, 0) \bigcup (3,\infty)\)

Answer 11

And you wanted us to show work. But I would rather walk you through the process of finding the answer yourself. I think it will be more instructive.

Answer 12

that answer is different than the answer you gave me last time, so how do i know that your answer is right?

Answer 13

I didn't give you an answer last time. Someone else did. I didn't check it because I figured you wanted to work it out anyway.

Answer 14

Do you want to work it out? This is why it doesn't help for someone else to show you their work. You have to work it out for yourself or you cannot be sure that the answer is correct.

Answer 15

no polpak is correct, i didn't look at conditions for denominator being 0

Answer 16

ok. so can you show me the work on how to do it right

Answer 17

Certainly.

Answer 18

Start again with:
\[\frac{4}{x-3} - \frac{1}{2x} \ge 0\]

And put the fractions over a common denominator

Answer 19

ok

Answer 20

What do you have?