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solve the inequality and graph the solution. 20 < 2 + 3d to draw a ray,…

Question

solve the inequality and graph the solution.
20 < 2 + 3d
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 2 from both sides

$$\begin{align*} 20-2&<2 + 3d-2\\ 18&<3d \end{align*}$$

Step2: Divide both sides by 3

$$\begin{align*} \frac{18}{3}&<\frac{3d}{3}\\ 6&

Answer:

The solution of the inequality is \(d > 6\). On the number - line, we plot an open circle at \(d = 6\) (because \(6\) is not included in the solution set) and draw a ray to the right.