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solve the inequality and graph the solution. 2g > 8 to draw a ray, plot…

Question

solve the inequality and graph the solution.
2g > 8
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 the inequality

Divide both sides of \(2g>8\) by \(2\).
$$\frac{2g}{2}>\frac{8}{2}$$

Step2: Simplify

Simplify the left - hand side to \(g\) and the right - hand side to \(4\).
$$g > 4$$

Step3: Graph the solution

Since \(g>4\), the endpoint at \(4\) is open (a hollow circle), and the ray extends to the right (towards larger values of \(g\)).

Answer:

The solution of the inequality \(2g>8\) is \(g > 4\). On the number line, there is an open circle at \(4\) and a ray extending to the right.