Question

solve the inequality and graph the solution.
3y + 20 > 14
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.

Explanation:

Step1: Subtract 20 from both sides

$$3y+20 - 20>14 - 20$$
$$3y>-6$$

Step2: Divide both sides by 3

$$\frac{3y}{3}>\frac{-6}{3}$$
$$y > - 2$$

To graph the solution \(y>-2\):

• Plot an open endpoint at \(y = - 2\) (since the inequality is strict, \(y

eq - 2\)).

• Draw an arrow to the right (because \(y\) is greater than \(-2\)).

Answer:

The solution of the inequality \(3y + 20>14\) is \(y>-2\). On the number - line, there is an open circle at \(-2\) and a ray extending to the right.