IXL Spotlight - Geometry >F.11 Graph solutions to advanced linear inequalities 5GC You have prizes to reveal! Go to your game board. $X$ Learn with an example $\smile$ or Watch a video (D) Questions answered Solve the inequality and graph the solution. \[ 3(u+6)+10>4 \] Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. Submit

Step 1 ：The question is asking to solve the inequality \(3(u+6)+10>4\) and graph the solution.

Step 2 ：First, we need to simplify the inequality. We can do this by distributing the 3 to both u and 6, then subtracting 10 from both sides.

Step 3 ：After simplifying, we can solve for u by dividing both sides by 3.

Step 4 ：The solution to the inequality is \(u > -8\). This means that all values of u that are greater than -8 are solutions to the inequality.

Step 5 ：Now, we need to graph this solution on a number line. Since the inequality is 'greater than' and not 'greater than or equal to', we will use an open circle to represent the endpoint at -8.

Step 6 ：\(\boxed{\text{The solution to the inequality } 3(u+6)+10>4 \text{ is } u > -8. \text{ This is represented on the number line as an open circle at -8, with a green line extending to the right of -8, indicating all values greater than -8.}}\)