Question

solve the inequality and graph the solution.
2 + 4d ≥ 10
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

$$2 + 4d-2\geq10 - 2$$
$$4d\geq8$$

Step2: Divide both sides by 4

$$\frac{4d}{4}\geq\frac{8}{4}$$
$$d\geq2$$

To graph the solution \(d\geq2\) on the number - line:

• The endpoint is at \(d = 2\). Since the inequality is \(\geq\) (greater than or equal to), the endpoint is a closed circle.
• Then draw a ray to the right (towards the positive direction) from the closed - circle at \(d = 2\)

Answer:

The solution of the inequality \(2 + 4d\geq10\) is \(d\geq2\). On the number - line, plot a closed circle at \(2\) and draw a ray to the right.