Question

solve the inequality and graph the solution.
\\( \frac { v + 1 } { - 1 } < 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.
submit

Explanation:

Step1: Multiply both sides by -1

When multiplying both sides of an inequality by a negative number, the inequality sign flips.
$$\frac{v + 1}{-1}\times(-1)>3\times(-1)$$
$$v + 1>-3$$

Step2: Subtract 1 from both sides

$$v+1 - 1>-3 - 1$$
$$v>-4$$

Answer:

The solution of the inequality is \(v > - 4\). On the number - line, we have an open circle at \(-4\) (because the inequality is strict, \(v
eq - 4\)) and a ray extending to the right.