Question

x-8/x+6<0

Answer 1

\[\frac{x - 8}{x + 6} < 0\]

Answer 2

wait so this is not right
(x+8)=0
x=-8
(x+6)=0
x=-6
x={-8,-6}

Answer 3

these are the answer choises

Answer 4

@Hero was I wrong?

Answer 5

well, i think you just switch them

Answer 6

I'm about to perform a bit of magic

Answer 7

please do im so confused

Answer 8

big test tomorrow and im cramming

Answer 9

WAit I don't understand was my work wrong or right?

Answer 10

i attached the answer choises with the problem, and your answer was not part of the choices

Answer 11

dang leave it to Hero

Answer 12

yeah thanks for the help tho

Answer 13

\[\frac{x + 6 - 14}{x + 6} < 0\]

\[\frac{x + 6}{x + 6} - \frac{14}{x + 6} < 0\]
\[1 - \frac{14}{x + 6} < 0\]

\[1 < \frac{14}{x + 6}\]

\[x + 6 < 14\]

\[x < 14 - 6\]
\[x < 8\]

Answer 14

Unfortunately, that only gives us part of the answer. Intuitively you should know that -6 is a critical point.

Answer 15

oh ok i see what you did, than from their i would just start canceling the other answer choices.

Answer 16

process of elimination

Answer 17

thank you vary much hero.

Answer 18

You already circled the correct answer it seems. -6 < x < 8 or (-6,8)

Answer 19

I have a working theory for a modified result.

I get to a point where

x + 6 < 14

Then I assume

0 < x + 6 < 14

then subtract 6 from each side

-6 < x < 8