b. $$ \frac{2 x}{x-4} \leq 1 $$

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Solve the equation $$ \frac{2x}{x-4} \leq 1 $$.
Solve the inequality by following steps:
- step0: Solve the inequality by testing the values in the interval:
  $$\frac{2x}{x-4}\leq 1$$
- step1: Find the domain:
  $$\frac{2x}{x-4}\leq 1,x
eq 4$$
- step2: Move the expression to the left side:
  $$\frac{2x}{x-4}-1\leq 0$$
- step3: Subtract the terms:
  $$\frac{x+4}{x-4}\leq 0$$
- step4: Set the numerator and denominator of $$\frac{x+4}{x-4}$$ equal to 0$$:$$
  $$\begin{align}&x+4=0\&x-4=0\end{align}$$
- step5: Calculate:
  $$\begin{align}&x=-4\&x=4\end{align}$$
- step6: Determine the test intervals:
  $$\begin{align}&x<-4\&-44\end{align}$$
- step7: Choose a value:
  $$\begin{align}&x_{1}=-5\&x_{2}=0\&x_{3}=5\end{align}$$
- step8: Test the chosen value:
  $$\begin{align}&x<-4	extrm{ }	extrm{is not a solution}\&-44	extrm{ }	extrm{is not a solution}\end{align}$$
- step9: Include the critical value:
  $$\begin{align}&-4\leq x<4	extrm{ }	extrm{is the solution}\end{align}$$
- step10: The final solution is $$-4\leq x<4:$$
  $$-4\leq x<4$$
- step11: Check if the solution is in the defined range:
  $$-4\leq x<4,x
eq 4$$
- step12: Find the intersection:
  $$-4\leq x<4$$
The solution to the inequality $$ \frac{2x}{x-4} \leq 1 $$ is $$ -4 \leq x < 4 $$.
The solution is $$ -4 \leq x < 4 $$.

b.

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