Question

solve the inequality and graph the solution.
2(c - 6) - 1 > 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: Expand the left - hand side

$2(c - 6)-1=2c-12 - 1=2c-13$. So the inequality becomes $2c-13>3$.

Step2: Add 13 to both sides

$2c-13 + 13>3 + 13$, which simplifies to $2c>16$.

Step3: Divide both sides by 2

$\frac{2c}{2}>\frac{16}{2}$, so $c > 8$.

Answer:

The solution of the inequality is $c>8$. On the number - line, we use an open circle at $c = 8$ and draw a ray to the right.