Solve the inequality and graph the solution set on a number line. \[ 3 x-4>-x+20 \] What is the solution? \[ \{x \mid \] (Type an inequality.)

Step 1 ：Start with the inequality \(3x - 4 > -x + 20\).

Step 2 ：Add x to both sides of the inequality to get \(4x - 4 > 20\).

Step 3 ：Add 4 to both sides of the inequality to get \(4x > 24\).

Step 4 ：Divide both sides of the inequality by 4 to isolate x, resulting in \(x > 6\).

Step 5 ：So the solution to the inequality is \(x > 6\). This means that any number greater than 6 is a solution to the inequality.

Step 6 ：Final Answer: \(\boxed{x > 6}\)