Question

solve the inequality and graph the solution.
\\( \frac { c + 7 } { - 1 } > 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.

Explanation:

Step1: Multiply both sides by -1

When multiplying both sides of an inequality by a negative number, the inequality sign flips. So, \(\frac{c + 7}{-1}>1\) becomes \(c + 7<-1\).

Step2: Subtract 7 from both sides

To isolate \(c\), subtract 7 from both sides of the inequality \(c + 7<-1\). We get \(c+7 - 7<-1 - 7\), which simplifies to \(c<-8\).

Answer:

The solution of the inequality is \(c < - 8\). On the number - line, we have an open circle at \(-8\) (since the inequality is strict, \(c
eq - 8\)) and a ray extending to the left (towards more negative numbers).