Question

solve the inequality and graph the solution. -3d - 2 ≤ 1. 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.

Explanation:

Step1: Solve the inequality for \(d\).

Add 3 to both sides of \( - 3\leq d - 1\). We get \(-3 + 3\leq d-1 + 3\), which simplifies to \(0\leq d + 2\). Then subtract 2 from both sides: \(0-2\leq d+2 - 2\), so \(d\geq - 2\).

Step2: Graph the solution.

The solution \(d\geq - 2\) is represented on a number - line. We mark a closed circle at \(d=-2\) (because the inequality is \(\geq\), indicating that \(-2\) is included in the solution set) and draw a ray to the right of \(-2\).

Answer:

The solution of the inequality is \(d\geq - 2\). On the number - line, mark a closed circle at \(-2\) and draw a ray extending to the right.