Question

find x
(x-5)/(3-x)<0
and no the answer isn't x<5

Answer 1

what else aint it then?

Answer 2

you see if you plug 4 in doesnt give you a number less than 0

Answer 3

\[\frac{x-5}{3-x}<0\]
means its negative

when x = 5 we have 0
when 3 = 3 we have a bad term but useful nonetheless

<................ 3 .....................5...............>
- + +
- - +
------------------------------
+ - +

between 3 and 5 it looks like

Answer 4

in interval wed write: (3,5)

Answer 5

so the answer is 3 and 5?

Answer 6

with an inequality you get a "range" of answers

Answer 7

it is all the values between 3 and 5

Answer 8

but 4 doent work!!! :(

Answer 9

show me why

Answer 10

i see it :)

Answer 11

do u get what im saying?

Answer 12

yep, i missed something along the way; probably a negative switch

http://www.wolframalpha.com/input/?i=%28x-5%29%2F%283-x%29+%3C0

Answer 13

howd they get x>5?

Answer 14

x-5 / 3-x < 0 , the criticals are 3 and 5

0-5 / 3-0 < 0
-/+ = -

6-5 / 3-6 < 0
+/- = -

..................................

so all point below 3 and above 5 are in the zone; but thats just by logic, let me type up the algebra to be sure