Answer:
the critical points are 0,5,9
Step-by-step explanation:
Answer:
0, 5 and 9
Step-by-step explanation:
The critical points for any inequality are the points for which the numerator of the denominator equal 0.
Here, we are given the following inequality:
[tex] \frac { x^2 - 9x } { x - 5 } < 0 [/tex]
So the critical points will be where[tex] x^2 - 9x = 0 [/tex] and where [tex] x - 5 = 0 [/tex].
[tex]x^2 - 9x = 0[/tex]
[tex]x (x - 9) = 0[/tex]
[tex]x = 0 and x = 9[/tex]
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
Therefore, the critical points for the given inequality are 0, 5 and 9.
