QUESTION IMAGE
Question
solve for c and graph the solution.
-3 < c + 4 ≤ 6
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.
Step1: Subtract 4 from all parts
$$\begin{align*}
-3-4&
Step2: Graph the solution
On the number - line:
- For \(c > - 7\), we use an open circle at \(c=-7\) (because the inequality is strict, \(c
eq - 7\)).
- For \(c\leq2\), we use a closed circle at \(c = 2\) (because the inequality includes equality, \(c = 2\) is part of the solution).
- Then we draw a line segment connecting these two points.
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The solution of the inequality is \(-7 < c\leq2\). On the number - line, there is an open circle at \(-7\) and a closed circle at \(2\) with a line segment between them.