Solve and graph the following inequality. \[ x+8<-3 \text { or } x+8>2 \]

Solve the equation \( x+8<-3 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(x+8<-3\) - step1: Move the constant to the right side: \(x<-3-8\) - step2: Subtract the numbers: \(x<-11\) Solve the equation \( x+8>2 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(x+8>2\) - step1: Move the constant to the right side: \(x>2-8\) - step2: Subtract the numbers: \(x>-6\) The solutions to the given inequalities are: 1. \( x<-11 \) 2. \( x>-6 \) To graph these inequalities, we can plot the points on a number line. The solution to the first inequality is all values less than -11, and the solution to the second inequality is all values greater than -6. The graph will show an open circle at -11 and an open circle at -6, with a line extending to the left of -11 and to the right of -6.