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.)

Answer

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Answer

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

Steps

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: \(\boxed{x > 6}\)