Watch the video and then solve the problem given below. Click here to watch the videe. Solve and graph the solution set. \( 6 x-3>x+7 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type your answer in interval notation.) B. There is no solution.

To solve the inequality \( 6x - 3 > x + 7 \), first, let's move all the terms involving \( x \) to one side and the constant terms to the other. Subtract \( x \) from both sides: \( 6x - x - 3 > 7 \) This simplifies to: \( 5x - 3 > 7 \) Now, add \( 3 \) to both sides: \( 5x > 10 \) Finally, divide both sides by \( 5 \): \( x > 2 \) In interval notation, the solution set is \((2, \infty)\). Now, for the graph: Draw a number line and mark the point \( 2 \) with an open circle (indicating that \( 2 \) is not included in the solution). Shade all the area to the right of \( 2 \) to indicate all values greater than \( 2 \) are part of the solution. Here's a fun fact: The concept of inequalities has been around since ancient Greece! They were used by mathematicians like the great Euclid, and over time, they evolved into what we use in modern math today. And speaking of applications, inequalities are super useful! Whether you're budgeting your expenses, determining acceptable temperature ranges in a science project, or just figuring out how much candy you can eat without going overboard, inequalities help keep everything in check!