Question

please tell me if this is correct
x+17
----->0
x-20
{x/x<-17 or x>20}

Answer 1

\[\frac{x+17}{x-20}>0\] is the question?

Answer 2

we can multiply it all by x-20 to clear the fraction, but the might introduce extraneous results

Answer 3

x+17 > x-20

17 > -20 .... that dint work out to good lol

Answer 4

im looking for the easy way out

Answer 5

the easy way out is if you have choices; to work them in the problem

Answer 6

other wise; x+17 >0 means that x >-17

are there any restrictions on the bottom that will make >-17 go wrong?

Answer 7

?

Answer 8

<.........-17.........20............>
- + + ; sign of the top
- - + ; sign of the bottom
--------------------------
+ - + ; sign of it all

this is how they interact top to bottom.

{x| x<-17 OR x>20} is correct

Answer 9

ty

Answer 10

:) youre welcome

Answer 11

this fraction will be positive when either both numerator and denominator are positive OR both are negative.
1. x+17>0 & x-20>0 i.e x>-17 and x>20 i.e. x>20
2. x+17<0 & x-20<0 i.e. x<-17 and x<20 i.e. x<-17
Hence the answer { x| x<-17 or x>20}