Question

solve the inequality and graph the solution.
-3u + 4 > 10
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 4 from both sides

$$\begin{align*} -3u+4 - 4&>10 - 4\\ -3u&>6 \end{align*}$$

Step2: Divide both sides by - 3 and reverse the inequality sign

$$\begin{align*} \frac{-3u}{-3}&<\frac{6}{-3}\\ u&<-2 \end{align*}$$

To graph the solution \(u < - 2\):

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

eq - 2\)).

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

Answer:

The solution of the inequality is \(u < - 2\). On the number - line, there is an open circle at \(-2\) and the ray extends to the left.