Question

solve the inequality and graph the solution.

( \frac { d } { 3 } > 2 )

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.

submit

Explanation:

Step1: Solve the inequality

Multiply both sides of $\frac{d}{3}>2$ by $3$ to isolate $d$.
$$\frac{d}{3}\times3>2\times3$$
$$d > 6$$

Step2: Graph the solution

Since $d>6$, the endpoint at $6$ is open (because the inequality is strict, i.e., $d$ is not equal to $6$). The solution is all real numbers greater than $6$, so we draw a ray starting at $6$ (open circle) and extending to the right.

Answer:

The solution of the inequality is $d>6$. On the number - line, we have an open circle at $6$ and a ray extending to the right.