Part 1 of 2 (8) Points: 0.5 of 1 Save Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line. \[ -6 x \geq 42 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \square \) . (Type your answer using interval notation.) B. The solution set is \( \varnothing \). w an example Get more help - Clear all Check answer

To solve the inequality \(-6x \geq 42\), first divide both sides by -6, remembering to reverse the inequality sign. This gives you: \[ x \leq -7 \] In interval notation, the solution set is \((-\infty, -7]\). Now, to graph this on a number line: Draw a line and mark the point at -7 with a closed dot (to indicate that -7 is included in the solution set). Then shade everything to the left of -7 to indicate all the numbers less than or equal to -7 are included in the solution. So, the answer is: A. The solution set is \((-\infty, -7]\).