Question

solve the inequality and graph the solution.
4u + 1 < 9
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

$$4u+1 - 1<9 - 1$$
$$4u<8$$

Step2: Divide both sides by 4

$$\frac{4u}{4}<\frac{8}{4}$$
$$u < 2$$

To graph \(u<2\):

• Plot an open circle at \(u = 2\) (because the inequality is strict, \(u

eq2\)).

• Draw an arrow to the left (since \(u\) is less than 2).

Answer:

The solution of the inequality \(4u + 1<9\) is \(u<2\). On the number - line, there is an open circle at \(2\) and an arrow pointing to the left.