Question

solve the inequality and graph the solution.
1 + 9z < 19
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 1 from both sides

$$1 + 9z-1<19 - 1$$
$$9z<18$$

Step2: Divide both sides by 9

$$\frac{9z}{9}<\frac{18}{9}$$
$$z < 2$$

To graph \(z < 2\):

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

eq2\)).

• Draw a ray to the left of \(z = 2\) (because \(z\) is less than 2).

Answer:

The solution of the inequality \(1 + 9z<19\) is \(z < 2\). On the number - line, there is an open - circle at \(2\) and a ray extending to the left of \(2\).