Question

solve the inequality and graph the solution. -11 ≥ 19c + 8. 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 variable term

Subtract 8 from both sides of the inequality $- 11\geq19c + 8$.
$-11-8\geq19c+8 - 8$
$-19\geq19c$

Step2: Solve for c

Divide both sides of the inequality by 19. Since we are dividing by a positive number, the direction of the inequality sign remains the same.
$\frac{-19}{19}\geq\frac{19c}{19}$
$- 1\geq c$ or $c\leq - 1$

Step3: Graph the solution

On the number - line, we mark a closed circle at - 1 (because the inequality is $\leq$, indicating that - 1 is included in the solution set) and draw a ray to the left to represent all the values of c that are less than or equal to - 1.

Answer:

The solution of the inequality is $c\leq - 1$. On the number - line, mark a closed circle at - 1 and draw a ray to the left.