Question

The solution set for
(x+3)/(x -5)< 2 is

Answer 1

\[\frac{ x + 3 }{ x - 5 } < 2\]
like so?

Answer 2

yeah

Answer 3

if we multiply both sides by x - 5 that will rid of the ugly fraction
which gets us
\[x + 3 < 2x - 10\]

Answer 4

ok makes sence

Answer 5

then it'f become \[x=13\]

Answer 6

is it < or = ?

Answer 7

<

Answer 8

oh ok x] so x < 13

Answer 9

right but it's multiple choice and the answers look like this
(a) (3; 2) U (2; 5)
(b) [4; 2) U (5;1)
(c) (3; 5)
(d) (1; 5) U (13;1)

Answer 10

there was a mistake made in the solution given to you.
when you devide away the x-5 you need to takenote that if x-5 is positive the in equality will stay the same, if x-5 is negative the inequality will change.

mistake 2

x + 3 < 2x - 10 implies x > 13 not x < 13

Answer 11

ok makes sense but X>13 isn't in my group of answers

Answer 12

it will not be some x > y answer there will be intervals

Answer 13

yes x>13 is not my answer, I was just pointing out that there is a mistake inside of a mistake in the answer given to you. so not only is it wrong, but its wrong on many levels.

Answer 14

lmfao