Question

solve the inequality and graph the solution.
10 ≤ 2g
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
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Explanation:

Step1: Solve for g

To solve the inequality \( 10 \leq 2g \), we divide both sides by 2.

$$ \frac{10}{2} \leq \frac{2g}{2} $$

Simplifying both sides, we get \( 5 \leq g \) (or \( g \geq 5 \)).

Step2: Graph the solution

On the number line, we plot a closed endpoint at 5 (since the inequality is "greater than or equal to," the endpoint is closed). Then we draw an arrow to the right (towards increasing values of g) to represent all numbers greater than or equal to 5.

Answer:

The solution to the inequality is \( g \geq 5 \). To graph it, plot a closed dot at 5 on the number line and draw an arrow pointing to the right.