Question

solve the inequality and graph the solution.
\\( \frac { b } { 2 } - 1 \geq 1 \\)
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: Add 1 to both sides

$$\frac{b}{2}-1 + 1\geq1 + 1$$
$$\frac{b}{2}\geq2$$

Step2: Multiply both sides by 2

$$\frac{b}{2}\times2\geq2\times2$$
$$b\geq4$$

Answer:

The solution of the inequality is \(b\geq4\). On the number - line, we plot a closed circle at \(4\) (since the inequality is \(\geq\), the endpoint is included) and draw a ray to the right of \(4\).