Question

Could someone teach me how I would do this thank you

http://i.imgur.com/YBAcBJt.png

Answer 1

Leave the 4n where and as it is now. Multiply each of the 2 terms inside the parentheses by -6. Then end the inequality with "> 12."

Please show your work.

Answer 2

To solve you need to find the value of n.

In A, the value of n could be greater than -9
In B, the value of n could be less than -9
In C, the value of n could be less than -3
In C, the value of n could be greater than -3

Plug in a number and test out of of the scenarios :)

Answer 3

*each of

Answer 4

Okay let me do that one second

Answer 5

The best way to solve is without looking at the answer choices. What if you aren't given answer choices?

You can simply view the inequalities as an equal sign and add and substract stuff to the other side just like you would with a normal equation.

However, inequalities only get tricky when you are multiplying or dividing by a negative number.

If you multiply or divide by a negative number, you need to flip the sign.
< will become >
> will become <

and similarly for \(\le\) and \(\ge\)
\(\le\) will become \(\ge\) when you multiply and divide by a negative number on both sides
and \(\ge\) becomes \(\le\)

So for example

-x > 5

Multiply -1 on both sides, and remember to flip the sign since we're multiplying by a negative number

-1 * -x < 5 * -1
x < -5

Answer 6

Okay ^ I'll do that one second

Answer 7

Wait where does the -1 come from

Answer 8

So I just tried to solve the equation with what you guys told me and I got the third answer is that correct?

Answer 9

is that right

Answer 10

That is incorrect.

Answer 11

Please share your actual work if you want specific feedback.
There is a general rule associated with inequalities:

If you either multiply or divide an equality by a negative number, you must change the direction of the inequality symbol. This applies to your situation.