Question

solve the inequality and graph the solution.
d - 2 > 6
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.
save answer

Explanation:

Step1: Isolate the variable \(d\)

Add \(2\) to both sides of the inequality \(d - 2>6\).
$$d-2 + 2>6 + 2$$

Step2: Simplify

Simplify both sides of the inequality.
$$d>8$$

To graph \(d > 8\) on the number - line:

• Locate the point \(8\) on the number - line.
• Since the inequality is \(d>8\) (not \(d\geq8\)), we use an open circle at \(8\).
• Then draw a ray to the right of \(8\) (because \(d\) is greater than \(8\)).

Answer:

The solution of the inequality \(d - 2>6\) is \(d>8\). On the number - line, we have an open circle at \(8\) and a ray extending to the right.