Question

solve the inequality and graph the solution.

\\( \frac { s + 1 } { - 3 } < 1 \\)

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 -3

When multiplying an inequality by a negative number, the inequality sign flips. So we have \(s + 1> - 3\).

Step2: Subtract 1 from both sides

\(s+1 - 1> - 3 - 1\), which simplifies to \(s>-4\).

Answer:

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