Solve the given rational inequality. Show your  solution (x - 2)/(x - 4) > 0
Solution only without text 

\[
\frac{x - 2}{x - 4} > 0
\]

1. Critical points: \( x = 2 \) and \( x = 4 \)

2. Sign chart:
   - For \( x < 2 \), \( \frac{x-2}{x-4} < 0 \)
   - For \( 2 < x < 4 \), \( \frac{x-2}{x-4} > 0 \)
   - For \( x > 4 \), \( \frac{x-2}{x-4} > 0 \)

3. Solution intervals:
   \[
   (2, 4) \cup (4, \infty)
   \]



Solve the given rational inequality. Show your solution (x - 2)/(x - 4) > 0

Learn how to solve the rational inequality (x - 2)/(x - 4) > 0 step-by-step. This algebra problem involves identifying critical points and analyzing the sign chart to determine solution intervals. Suitable for students in Grades 9-12.

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