Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

http://prntscr.com/39nbav

OpenStudy (ipwnbunnies):

Can you solve for x? That will make this question more clear.

OpenStudy (anonymous):

I don't understand this it would be great if you could give me the answer :/

OpenStudy (ipwnbunnies):

I'm not here to give you answers. I'm here to help you understand it. Do you have any idea how to solve for x?

OpenStudy (anonymous):

no can you help me step by step so i can understand it?

OpenStudy (ipwnbunnies):

Ok. \[\frac{-x}{4} \le 2\]

OpenStudy (ipwnbunnies):

Multiply both sides by 4. That will get rid of the 4 in the denominator on the side with the x. \[-x \le 8\]

OpenStudy (anonymous):

yeah

OpenStudy (ipwnbunnies):

Now. We need to get just 'x' by itself. So, we need to get rid of that negative sign on the x. What we can do is multiply both sides by -1. However, during inequalities (equations without an equal sign), you have to switch the sign when you multiply or divide by a negative number. \[-x \le 8\] \[x \ge -8\]

OpenStudy (anonymous):

oooooh so that becomes your final answer?

OpenStudy (ipwnbunnies):

Yes, that is the simplied inequality. And you can figure out what is looks like on the number line. It's every number greater than -8, including -8.

OpenStudy (anonymous):

Thanks! Can you help me with this one to http://prntscr.com/39n7wb

OpenStudy (ipwnbunnies):

It's the similar situation. How can you get z by itself?

OpenStudy (anonymous):

Divide?

OpenStudy (ipwnbunnies):

Divide by what?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

nvm -32

OpenStudy (ipwnbunnies):

Try again. There's a negative sign tacked onto 4z.

OpenStudy (anonymous):

Yeah that's why i switched

OpenStudy (ipwnbunnies):

Why would we divide by -32? We're trying to get z all by itself.

OpenStudy (ipwnbunnies):

\[-4z \le -32\] We want to divide by -4, not 4, to get 'z' all by itself.

OpenStudy (anonymous):

ooh

OpenStudy (ipwnbunnies):

What does the final answer look like now? Remember, when dividing or multiplying by a negative number, you have to change the sign.

OpenStudy (anonymous):

-z\[-z \ge 8\]

OpenStudy (anonymous):

You switch it

OpenStudy (ipwnbunnies):

Try again. Remember, we divided both sides by -4. So there is no more negative sign on the left.

OpenStudy (anonymous):

\[z \ge-8\]

OpenStudy (ipwnbunnies):

Uh, you were closer the first time. \[-4z \le -32\] We divide both sides by -4. That will cancel out the -4 on the left side. On the right side, we have a negative divided by a negative, which is a positive. Finally, we change the sign. \[z \ge 8\]

OpenStudy (anonymous):

aww it kind of makes sense now can you help me with some more?

OpenStudy (anonymous):

and thanks a lot

OpenStudy (anonymous):

http://prntscr.com/39nbav

OpenStudy (ipwnbunnies):

You can do this. Get the x term by itself. Divide to get 'x' all by itself. You don't have to switch the sign this time because you'll be dividing by a positive number.

OpenStudy (anonymous):

ok ill try and i will get my answer and tell me if its right

OpenStudy (anonymous):

its the 4th one :p

OpenStudy (anonymous):

So i divide 5 and get x then do i add 17 with 7?

OpenStudy (anonymous):

move -17 to the other side, then its 5x>-10

OpenStudy (anonymous):

ooh

OpenStudy (anonymous):

then divide by 5 and its x>-2

OpenStudy (anonymous):

are we on #8?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

#9 is the 4th one

OpenStudy (anonymous):

solve for x again

OpenStudy (anonymous):

Do you know what 10 is?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!