Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. 2 ≤ $\frac{d}{-3}$ plot th…

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.

Explanation:

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.

Answer:

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.