Question

solve the inequality and graph the solution.
$4g - \frac{2}{5}(5g - 10) \geq 10$
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.

Explanation:

Step1: Distribute the fraction

$4g - \frac{2}{5}(5g) + \frac{2}{5}(10) \geq 10$
Simplify the terms:
$4g - 2g + 4 \geq 10$

Step2: Combine like terms

$2g + 4 \geq 10$

Step3: Isolate the variable term

Subtract 4 from both sides:
$2g \geq 10 - 4$
$2g \geq 6$

Step4: Solve for $g$

Divide both sides by 2:
$g \geq \frac{6}{2}$
$g \geq 3$

Answer:

The solution to the inequality is $g \geq 3$. To graph this:

1. Plot a closed endpoint at 3 on the number line (since the inequality includes equality).
2. Draw a ray extending to the right from 3, covering all values greater than or equal to 3.