What is the solution to the inequality -50n is greater than or equal to 10

Question

goldphenoix · Answer

$$\large \large -50m \ge 10$$ You want to find m, so we want to get rid of -50.
-50m is a coefficient. So another way of writing that is -50 * m.
To get rid of -50, we want to do the reciprocal of multiplication. What is the reciprocal of multiplication?

anonymous · Answer

n is less then or equal to -1/5

anonymous · Answer

Two different answers?
And to reword the question its |dw:1374685480747:dw|

texaschic101 · Answer

-50n <= 10 This problem says less then or equal....is this the correct problem

anonymous · Answer

Yes $$-50n \le 10$$

goldphenoix · Answer

What do you mean, Baby?

anonymous · Answer

−50n≤10 is the question i need help with

texaschic101 · Answer

inequalities are solved like equations. You want to get n on one side and everything else on the other side. One rule for inequalities that you have to remember is when dividing by a negative, he inequality sign changes. 
I will let GoldPhoenix finish because he started working with you.

goldphenoix · Answer

~Total confusion~
So the question you posted is different from the question you need help with?

anonymous · Answer

I just noticed i could use the equation button and i ment less than or equal two in my main question sorry :/

goldphenoix · Answer

Ah. Okay. So you would have: $$\large \large -50n \le 10$$ Now you remember what I said before, correct?
So what is the reciprocal of multiplication?

goldphenoix · Answer

Or if you don't understand what I mean, then how can we get n by itself?

anonymous · Answer

Division :D

goldphenoix · Answer

Great! So what number divided by -50 will give us 1?

anonymous · Answer

-50

goldphenoix · Answer

Good job.
So -50 / -50 = 1
If you do that to the left side, then you must do it to the right side.

What does 10 / -50 give us?

anonymous · Answer

Like -0.2 or somthing like that

goldphenoix · Answer

Great. Now here's the thing. We must switch the inequality because you divided both side by a negative number. So what's the opposite of less than or equal to?

goldphenoix · Answer

The only time when we are switching the inequality sign around is when we are either multiplying or dividing both side by a negative number.

anonymous · Answer

Lol greater than or equal to

goldphenoix · Answer

Great.
So your final answer should be: $$\large \large n \ge -0.2$$

anonymous · Answer

Herm. Oh yes! It just has it in division form. Thank you very much