Question

Can someone please help me solve this problem?
It's about inequalities in algebra.
I know how to do these it's just this one is a bit confusing for me.

Answer 1

Here is the problem:
\[q + 12 - 2(q - 22) > 0\]

Answer 2

\[q >55\]

Answer 3

Okay. But how did you get that?

Answer 4

I would like to be able to do this kind of problem on my own in the future that's why I'm asking.

Answer 5

it's wrong..

Answer 6

Ok. Then what is the correct answer and how do you get it?

Answer 7

@Shiree19 q + 12 - 2 (q - 22 ) > 0
simplify both sides
-q + 56 > 0
subtract 56 from both sides
-q + 56 - 56 > 0 - 56
- q > - 56
divide both sides by negative 1
-q/-1 > -56/-1
and you get q < 56 for the answer

Answer 8

@cutelilcigarette Okay. (this will sound like I'm an idiot) But how did you simplify the left side?

Answer 9

\[q+12-2(q-22)>0 first you multiple -2 by q then you multiply -2 by -22 then subtract 44 from 0 then subtract 12 from 0 then you then you take -2q and add 1q so that makes a -1q so then you -1q and devide by -56\]

Answer 10

ok. So I do \[-2 \times q = -2q\]
then I do \[-2q \times 22 = -44q\]
than I do \[-44 - 12 = -56\]
So that's -q + 56?

Answer 11

Is that right? How do you get a negative q?

Answer 12

-2q +1q

Answer 13

oh ok. Thanks so much!