Question

solve the inequality and graph the solution.
4 ≤ b/-2
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

When multiplying an inequality by a negative number, the inequality sign flips. So, \(4\times(- 2)\geq\frac{b}{-2}\times(-2)\)

Step2: Simplify

\(-8\geq b\) or \(b\leq - 8\)

To graph \(b\leq - 8\) on the number line:

• Place a closed circle at \(-8\) (because the inequality is \(\leq\), which includes the endpoint).
• Draw a ray to the left (since \(b\) is less than or equal to \(-8\))

Answer:

The solution of the inequality is \(b\leq - 8\). On the number - line, there is a closed circle at \(-8\) and a ray extending to the left.