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solve the inequality and graph the solution. plot the endpoints. select…

Question

solve the inequality and graph the solution.

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: Subtract 2 from both sides

$$c + 2-2\geq5 - 2$$

Step2: Simplify

$$c\geq3$$

To graph \(c\geq3\), we place a closed circle at \(3\) (because the inequality is \(\geq\), so \(3\) is included in the solution set) and draw a ray to the right (since \(c\) is greater than or equal to \(3\)).

Answer:

The solution of the inequality \(c + 2\geq5\) is \(c\geq3\). On the number - line, we plot a closed circle at \(3\) and a ray extending to the right.