Question

solve the inequality and graph the solution.
-10 + 5y < 5
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: Add 10 to both sides

$$-10 + 5y+10<5 + 10$$
$$5y<15$$

Step2: Divide both sides by 5

$$\frac{5y}{5}<\frac{15}{5}$$
$$y < 3$$

To graph \(y < 3\):

• Plot an open circle at \(y = 3\) (because the inequality is strict, \(y

eq3\)).

• Draw a ray to the left (since \(y\) values less than 3 satisfy the inequality).

Answer:

The solution of the inequality is \(y < 3\). On the number - line, there is an open circle at \(3\) and a ray extending to the left.