Question

solve the inequality and graph the solution. 10 + 9c > 1 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it. -5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Isolate the variable term

Subtract 10 from both sides.
$10 + 9c - 10 > 1 - 10$
$9c > -9$

Step2: Solve for c

Divide both sides by 9.
$\frac{9c}{9} > \frac{-9}{9}$
$c > -1$

Step3: Describe the graph

The solution is all values greater than -1. On the number line, plot an open endpoint at -1, then draw an arrow pointing to the right (toward positive infinity) to represent all values larger than -1.

Answer:

The solution to the inequality is $c > -1$. For the graph: plot an open circle at $-1$ on the number line, then draw a ray extending to the right from this point.