Question

solve the inequality and graph the solution. 14 < 2c + 2. 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: Solve the inequality

Subtract 2 from both sides of $14 < 2c+2$. We get $14 - 2<2c+2 - 2$, which simplifies to $12 < 2c$. Then divide both sides by 2: $\frac{12}{2}<\frac{2c}{2}$, so $6 < c$ or $c>6$.

Step2: Graph the solution

On the number - line, we mark an open circle at 6 (because the inequality is $c > 6$, not $c\geq6$) and draw a ray to the right of 6 to represent all the values of $c$ that satisfy the inequality.

Answer:

The solution of the inequality is $c > 6$. On the number - line, there is an open circle at 6 and a ray extending to the right.