Question

solve the inequality and graph the solution.
\\(\frac{w + 6}{2} < -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.
-10 -8 -6 -4 -2 0 2 4 6 8 10

Explanation:

Step1: Multiply both sides by 2

$$\frac{w + 6}{2}\times2<-1\times2$$
$$w + 6<-2$$

Step2: Subtract 6 from both sides

$$w+6 - 6<-2 - 6$$
$$w<-8$$

Answer:

The solution of the inequality is \(w < - 8\). On the number - line, we plot an open circle at \(-8\) (because the inequality is strict, \(w
eq - 8\)) and draw a ray to the left of \(-8\) to represent all the values of \(w\) that satisfy the inequality.