Given the following rational function:
x-4 / x-5 < x / x+4
Solve the rational inequality
2006-11-26 05:15:03 · 4 answers · asked by love_never_wanted_me 1 in Science & Mathematics ➔ Mathematics
i think i'm supposed to end up with a point or something. i'm working with graphs. i had one earlier and this is how it was:
5x / x+5 < 0
and the correct answer was (-5,0) and i really have no idea how to get it....
2006-11-26 05:22:43 · update #1
cross multiplying
(x-4)(x+4)
5x-16<0
adding 16
5x<16
dividing by 5
x<16/5
x<3 1/5
2006-11-26 05:19:54 · answer #1 · answered by raj 7 · 0⤊ 0⤋
(x-4)/(x-5) < x/(x+4) Your question
[(x-4)(x+4)]/(x-5) < x Multiply by (x+4) both sides
x^2 - 16 < x^2 - 5x Multiply by (x-5) both sides, expand (x-4)(x+4)
-16 < -5x Multiply by -1 and flip inequality sign
5x < 16 Divide by 5 both sides
x < 16/5
2006-11-26 13:30:57 · answer #2 · answered by Anonymous · 0⤊ 0⤋
u can never cross multiply equation like this cuz u don't know the nature of equation
moreover u can never find out a single point as answer
take equations on one side and then solve it
ans migth be x= (16/5,5)
there is a method to solve these types of equtions called wavi curve method ask ur teacher
2006-11-26 13:33:32 · answer #3 · answered by n nitant 3 · 0⤊ 0⤋
x=5
trust me i k now
2006-11-26 13:19:37 · answer #4 · answered by Twista-Adzy 2 · 0⤊ 1⤋