Question

solve the inequality and graph the solution.
8 < \frac{c}{2}+6
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: Isolate the term with the variable

Subtract 6 from both sides of the inequality $8<\frac{c}{2}+6$.
$8 - 6<\frac{c}{2}+6 - 6$, which simplifies to $2<\frac{c}{2}$.

Step2: Solve for the variable

Multiply both sides of the inequality $2<\frac{c}{2}$ by 2.
$2\times2<\frac{c}{2}\times2$, so $4 < c$ or $c>4$.

Answer:

The solution of the inequality is $c > 4$. On the number - line, we use an open circle at 4 (since 4 is not included in the solution) and draw a ray to the right of 4.