Solve \(3x~-~4~\ge~8\), then match the solution's endpoint and direction to a graph description. Which graph description matches your solution?
A. Closed at \(4\), shaded right
B. Open at \(4\), shaded right
C. Closed at \(4\), shaded left
What this problem is really about
Solve the inequality before interpreting the graph descriptions: undo the subtraction, then divide by the positive coefficient, preserving both direction and endpoint inclusion. Once x is isolated, read the final symbol in two pieces. Its equality bar determines whether the boundary is closed, and its greater-or-less direction determines which way the ray extends.