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QUESTION IMAGE

solve the inequality and graph the solution. $\frac{b}{4}geq - 2$ plot …

Question

solve the inequality and graph the solution.
$\frac{b}{4}geq - 2$
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: Isolate the variable b

Multiply both sides by 4.
$b\geq - 2\times4$

Step2: Calculate the right - hand side

$b\geq - 8$

For graphing:

  1. On the number - line, place a closed circle at $b=-8$ (because the inequality is $\geq$, which includes the endpoint).
  2. Draw a ray to the right of $b = - 8$ to represent all the values of $b$ that satisfy the inequality.

Answer:

The solution of the inequality is $b\geq - 8$. On the number - line, there is a closed circle at $-8$ and a ray extending to the right.