Which graph shows the solution set of [tex]\frac{x-1}{x-3} \ \textless \ 0[/tex]?
![Which graph shows the solution set of [tex]\frac{x-1}{x-3} \ \textless \ 0[/tex]? class=](https://us-static.z-dn.net/files/d28/3be2d29d10dd88d8fb09a4c81dbaf6b5.jpg)
![Which graph shows the solution set of [tex]\frac{x-1}{x-3} \ \textless \ 0[/tex]? class=](https://us-static.z-dn.net/files/df1/138fb92bbbc6214ce6081f67a95b6b8a.jpg)
![Which graph shows the solution set of [tex]\frac{x-1}{x-3} \ \textless \ 0[/tex]? class=](https://us-static.z-dn.net/files/d89/5f58a3ef6c72392d2884b60067d3d07f.jpg)
![Which graph shows the solution set of [tex]\frac{x-1}{x-3} \ \textless \ 0[/tex]? class=](https://us-static.z-dn.net/files/d97/bb091ccef17b37e00fd892082330612a.jpg)
Answer:
Step-by-step explanation:
f(x) = (x - 1)/(x - 3) < 0
The critical points are x = 1 and x = 3
When x < 1, f(x) > 0
When 1 < x < 3, f(x) < 0
When x > 3, f(x) > 0
Note when x = 3 f(x) has no value and when x = 1 f(x) = 0.
I can't see all the graphs very well but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.
Looks like its the last choice.