Question

solve the inequality and graph the solution.
1 + 4v < -3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
your answer:

Explanation:

Step1: Subtract 1 from both sides

$$1 + 4v-1<-3 - 1$$
$$4v<-4$$

Step2: Divide both sides by 4

$$\frac{4v}{4}<\frac{-4}{4}$$
$$v < - 1$$

Answer:

The solution of the inequality \(1 + 4v<-3\) is \(v < - 1\). On the number - line, we have an open circle at \(-1\) (since the inequality is strict, \(v\) cannot equal \(-1\)) and the line extends to the left (towards more negative values).