Which graph shows the solution set of (x-1)/(x-3) \ \textless \ 0?

Question

Which graph shows the solution set of
`(x-1)/(x-3) \ \textless \ 0`?

Answer 1

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.