Question

solve the inequality and graph the solution.
\\( \frac { b + 2 } { 2 } \leq - 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.

Explanation:

Step1: Multiply both sides by 2

$$\frac{b + 2}{2}\times2\leq-1\times2$$
$$b + 2\leq-2$$

Step2: Subtract 2 from both sides

$$b+2 - 2\leq-2 - 2$$
$$b\leq-4$$

Answer:

The solution of the inequality is \(b\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality is \(\leq\), so the endpoint is included) and draw a ray to the left.