Question

solve the inequality and graph the solution.
2r ≥ 10
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

Divide both sides of \(2r\geq10\) by \(2\).
$$\frac{2r}{2}\geq\frac{10}{2}$$

Step2: Simplify

Simplify the left - hand side \(\frac{2r}{2}=r\) and the right - hand side \(\frac{10}{2} = 5\). So \(r\geq5\).

Answer:

The solution of the inequality \(2r\geq10\) is \(r\geq5\). On the number line, we plot a closed circle at \(r = 5\) (because the inequality is \(\geq\), which includes equality) and draw a ray to the right of \(5\) towards positive infinity.