Question

solve the inequality and graph the solution. 10y < -20 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 y

Divide both sides of the inequality $10y < - 20$ by 10. Since 10>0, the direction of the inequality sign remains the same. So we have $y<\frac{-20}{10}$.

Step2: Simplify the right - hand side

$\frac{-20}{10}=-2$, so the solution of the inequality is $y < - 2$.

Step3: Graph the solution

On the number - line, we plot an open circle at $y = - 2$ (because the inequality is strict, $y$ cannot equal - 2) and draw a ray to the left of $y=-2$.

Answer:

The solution of the inequality is $y < - 2$. On the number - line, there is an open circle at $-2$ and a ray extending to the left.