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solve the inequality and graph the solution. \\( \\frac { c } { 2 } > 3…

Question

solve the inequality and graph the solution.
\\( \frac { c } { 2 } > 3 \\)
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: Multiply both sides by 2

$$\frac{c}{2}\times2>3\times2$$

Step2: Simplify

$$c > 6$$

Answer:

The solution of the inequality is \(c>6\). On the number - line, we plot an open circle at \(6\) (because \(6\) is not included in the solution set) and draw a ray to the right of \(6\) to represent all real numbers greater than \(6\).