Question

solve the inequality and graph the solution. 18(c - 2) - 19 < 17 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

$18(c - 2)-19=18c-36 - 19=18c-55$. So the inequality becomes $18c-55 < 17$.

Step2: Add 55 to both sides

$18c-55 + 55<17 + 55$, which simplifies to $18c<72$.

Step3: Divide both sides by 18

$\frac{18c}{18}<\frac{72}{18}$, so $c < 4$.

Answer:

The solution of the inequality is $c < 4$. On the number - line, we plot an open circle at $c = 4$ (since the inequality is strict, $c$ cannot equal 4) and draw a ray to the left of 4.