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:
change my answer

Explanation:

Step1: Subtract 1 from both sides

$$1 + 4v-1\lt - 3-1$$
$$4v\lt - 4$$

Step2: Divide both sides by 4

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

Answer:

The solution of the inequality \(1 + 4v\lt - 3\) is \(v\lt - 1\). On the number - line, we have an open circle at \(v = - 1\) (since the inequality is strict, i.e., \(v\) is not equal to \(-1\)) and the arrow points to the left (towards smaller values of \(v\)).