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solve the inequality and graph the solution. c + 2 > 8 to draw a ray, p…

Question

solve the inequality and graph the solution.
c + 2 > 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.

Explanation:

Step1: Subtract 2 from both sides

$$c+2 - 2>8 - 2$$

Step2: Simplify

$$c>6$$

To graph \(c > 6\):

  • Plot an open circle at \(6\) (because \(c\) is not equal to \(6\), just greater than \(6\)).
  • Draw an arrow to the right (since values greater than \(6\) are in that direction).

Answer:

The solution of the inequality \(c + 2>8\) is \(c>6\). On the number - line, there is an open circle at \(6\) and an arrow pointing to the right.