QUESTION IMAGE
Question
solve the inequality and graph the solution.
2 ≤ $\frac{d}{-3}$
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.
Step1: Multiply both sides by -3
When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $2\times(-3)\geq\frac{d}{-3}\times(-3)$.
$ - 6\geq d$ or $d\leq - 6$
Step2: Graph the solution
On the number - line, we plot a closed circle at - 6 (because the inequality is $\leq$, indicating that - 6 is included in the solution set) and draw a ray to the left of - 6.
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The solution of the inequality is $d\leq - 6$. On the number - line, there is a closed circle at - 6 and a ray extending to the left.