Question

Solve the inequality (2x-7)/(x-5) greater than/equal to 3

Answer 1

let in the first case it be equal to 3
(2x-7)/(x-5) = 3
it means (2x-7) = 3 (x-5)
solving it gives
2x - 7 = 3x - 15
2x - 3x = -15 + 7
- x = - 8
which gives x = 8


and let in the second case (2x-7)/(x-5) > 3
solving it further gives
(2x-7) > (x-5) 3
further solving it gives
2x - 7 > 3x - 15

now try solving it further...
and if any problem comes just ask me... i would feel very happy in clearing ur concept

Answer 2

Would you solve it this way any time there is a fraction with a number on the other side of the inequality?

Answer 3

Also, would the horizontal asymptote be y=0?

Answer 4

ofcourse.. you would solve it that ways.. @kaylady21

and yes.. y = 0..

Answer 5

(2x-7)/(x-5) >= 3
2x-7 >= 3(x-5)
2x-7 >= 3x-15)
-7 + 15 >= 3x -2x = x
8 >= x
x <= 8