Question

solve the inequality and graph the solution.
b + 7 ≥ 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 7 from both sides

$$b + 7-7\geq10 - 7$$

Step2: Simplify

$$b\geq3$$

To graph \(b\geq3\), we plot a closed - endpoint at \(3\) (because the inequality is \(\geq\), which includes equality) and draw a ray to the right.

Answer:

The solution of the inequality \(b + 7\geq10\) is \(b\geq3\). On the number line, we have a closed circle at \(3\) and a ray extending to the right.